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Finding the Third Proportional to 171,051.75 and 256,668.75

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Solution

The third proportional to 171,051.75 and 256,668.75 is: 385,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,051.75 : 256,668.75 = 256,668.75 : x
  2. Step 2: Convert to fraction form
    171,051.75/256,668.75 = 256,668.75/x
  3. Step 3: Cross multiply
    171,051.75x = 256,668.75 × 256,668.75
  4. Step 4: Simplify right side
    171,051.75x = 65,878,847,226.56
  5. Step 5: Solve for x
    x = 65,878,847,226.56/171,051.75
  6. Step 6: Final answer
    x = 385,139.86

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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.