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Finding the Third Proportional to 117,531 and 277,398

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Solution

The third proportional to 117,531 and 277,398 is: 654,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,531 : 277,398 = 277,398 : x
  2. Step 2: Convert to fraction form
    117,531/277,398 = 277,398/x
  3. Step 3: Cross multiply
    117,531x = 277,398 × 277,398
  4. Step 4: Simplify right side
    117,531x = 76,949,650,404
  5. Step 5: Solve for x
    x = 76,949,650,404/117,531
  6. Step 6: Final answer
    x = 654,717.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.