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Finding the Third Proportional to 129,916 and 283,344

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Solution

The third proportional to 129,916 and 283,344 is: 617,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,916 : 283,344 = 283,344 : x
  2. Step 2: Convert to fraction form
    129,916/283,344 = 283,344/x
  3. Step 3: Cross multiply
    129,916x = 283,344 × 283,344
  4. Step 4: Simplify right side
    129,916x = 80,283,822,336
  5. Step 5: Solve for x
    x = 80,283,822,336/129,916
  6. Step 6: Final answer
    x = 617,967.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.