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Finding the Third Proportional to 132,591 and 286,359

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Solution

The third proportional to 132,591 and 286,359 is: 618,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,591 : 286,359 = 286,359 : x
  2. Step 2: Convert to fraction form
    132,591/286,359 = 286,359/x
  3. Step 3: Cross multiply
    132,591x = 286,359 × 286,359
  4. Step 4: Simplify right side
    132,591x = 82,001,476,881
  5. Step 5: Solve for x
    x = 82,001,476,881/132,591
  6. Step 6: Final answer
    x = 618,454.32

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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.