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Finding the Third Proportional to 129,708 and 284,019

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Solution

The third proportional to 129,708 and 284,019 is: 621,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,708 : 284,019 = 284,019 : x
  2. Step 2: Convert to fraction form
    129,708/284,019 = 284,019/x
  3. Step 3: Cross multiply
    129,708x = 284,019 × 284,019
  4. Step 4: Simplify right side
    129,708x = 80,666,792,361
  5. Step 5: Solve for x
    x = 80,666,792,361/129,708
  6. Step 6: Final answer
    x = 621,910.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.