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Finding the Third Proportional to 129,366 and 282,778

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Solution

The third proportional to 129,366 and 282,778 is: 618,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,366 : 282,778 = 282,778 : x
  2. Step 2: Convert to fraction form
    129,366/282,778 = 282,778/x
  3. Step 3: Cross multiply
    129,366x = 282,778 × 282,778
  4. Step 4: Simplify right side
    129,366x = 79,963,397,284
  5. Step 5: Solve for x
    x = 79,963,397,284/129,366
  6. Step 6: Final answer
    x = 618,117.57

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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.