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Finding the Third Proportional to 118,250 and 273,468

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Solution

The third proportional to 118,250 and 273,468 is: 632,429.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,250 : 273,468 = 273,468 : x
  2. Step 2: Convert to fraction form
    118,250/273,468 = 273,468/x
  3. Step 3: Cross multiply
    118,250x = 273,468 × 273,468
  4. Step 4: Simplify right side
    118,250x = 74,784,747,024
  5. Step 5: Solve for x
    x = 74,784,747,024/118,250
  6. Step 6: Final answer
    x = 632,429.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.