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Finding the Third Proportional to 114,214.50 and 171,321.75

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Solution

The third proportional to 114,214.50 and 171,321.75 is: 256,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,214.50 : 171,321.75 = 171,321.75 : x
  2. Step 2: Convert to fraction form
    114,214.50/171,321.75 = 171,321.75/x
  3. Step 3: Cross multiply
    114,214.50x = 171,321.75 × 171,321.75
  4. Step 4: Simplify right side
    114,214.50x = 29,351,142,023.06
  5. Step 5: Solve for x
    x = 29,351,142,023.06/114,214.50
  6. Step 6: Final answer
    x = 256,982.63

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.