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Finding the Third Proportional to 132,767 and 286,663

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Solution

The third proportional to 132,767 and 286,663 is: 618,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,767 : 286,663 = 286,663 : x
  2. Step 2: Convert to fraction form
    132,767/286,663 = 286,663/x
  3. Step 3: Cross multiply
    132,767x = 286,663 × 286,663
  4. Step 4: Simplify right side
    132,767x = 82,175,675,569
  5. Step 5: Solve for x
    x = 82,175,675,569/132,767
  6. Step 6: Final answer
    x = 618,946.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.