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Finding the Third Proportional to 132,897 and 286,665

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Solution

The third proportional to 132,897 and 286,665 is: 618,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,897 : 286,665 = 286,665 : x
  2. Step 2: Convert to fraction form
    132,897/286,665 = 286,665/x
  3. Step 3: Cross multiply
    132,897x = 286,665 × 286,665
  4. Step 4: Simplify right side
    132,897x = 82,176,822,225
  5. Step 5: Solve for x
    x = 82,176,822,225/132,897
  6. Step 6: Final answer
    x = 618,349.72

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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.