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Finding the Third Proportional to 114,273 and 171,301.50

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Solution

The third proportional to 114,273 and 171,301.50 is: 256,790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,273 : 171,301.50 = 171,301.50 : x
  2. Step 2: Convert to fraction form
    114,273/171,301.50 = 171,301.50/x
  3. Step 3: Cross multiply
    114,273x = 171,301.50 × 171,301.50
  4. Step 4: Simplify right side
    114,273x = 29,344,203,902.25
  5. Step 5: Solve for x
    x = 29,344,203,902.25/114,273
  6. Step 6: Final answer
    x = 256,790.35

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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.