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Finding the Third Proportional to 118,249 and 273,469

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Solution

The third proportional to 118,249 and 273,469 is: 632,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,249 : 273,469 = 273,469 : x
  2. Step 2: Convert to fraction form
    118,249/273,469 = 273,469/x
  3. Step 3: Cross multiply
    118,249x = 273,469 × 273,469
  4. Step 4: Simplify right side
    118,249x = 74,785,293,961
  5. Step 5: Solve for x
    x = 74,785,293,961/118,249
  6. Step 6: Final answer
    x = 632,439.12

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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.