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Finding the Third Proportional to 129,370 and 282,788

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Solution

The third proportional to 129,370 and 282,788 is: 618,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,370 : 282,788 = 282,788 : x
  2. Step 2: Convert to fraction form
    129,370/282,788 = 282,788/x
  3. Step 3: Cross multiply
    129,370x = 282,788 × 282,788
  4. Step 4: Simplify right side
    129,370x = 79,969,052,944
  5. Step 5: Solve for x
    x = 79,969,052,944/129,370
  6. Step 6: Final answer
    x = 618,142.17

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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.