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Finding the Third Proportional to 132,744 and 286,599

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Solution

The third proportional to 132,744 and 286,599 is: 618,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,744 : 286,599 = 286,599 : x
  2. Step 2: Convert to fraction form
    132,744/286,599 = 286,599/x
  3. Step 3: Cross multiply
    132,744x = 286,599 × 286,599
  4. Step 4: Simplify right side
    132,744x = 82,138,986,801
  5. Step 5: Solve for x
    x = 82,138,986,801/132,744
  6. Step 6: Final answer
    x = 618,777.40

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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.