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Finding the Third Proportional to 132,792 and 286,712

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Solution

The third proportional to 132,792 and 286,712 is: 619,041.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,792 : 286,712 = 286,712 : x
  2. Step 2: Convert to fraction form
    132,792/286,712 = 286,712/x
  3. Step 3: Cross multiply
    132,792x = 286,712 × 286,712
  4. Step 4: Simplify right side
    132,792x = 82,203,770,944
  5. Step 5: Solve for x
    x = 82,203,770,944/132,792
  6. Step 6: Final answer
    x = 619,041.59

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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.