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Finding the Third Proportional to 132,599 and 286,380

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Solution

The third proportional to 132,599 and 286,380 is: 618,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,599 : 286,380 = 286,380 : x
  2. Step 2: Convert to fraction form
    132,599/286,380 = 286,380/x
  3. Step 3: Cross multiply
    132,599x = 286,380 × 286,380
  4. Step 4: Simplify right side
    132,599x = 82,013,504,400
  5. Step 5: Solve for x
    x = 82,013,504,400/132,599
  6. Step 6: Final answer
    x = 618,507.71

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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.