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Finding the Third Proportional to 152,498 and 231,339

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Solution

The third proportional to 152,498 and 231,339 is: 350,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,498 : 231,339 = 231,339 : x
  2. Step 2: Convert to fraction form
    152,498/231,339 = 231,339/x
  3. Step 3: Cross multiply
    152,498x = 231,339 × 231,339
  4. Step 4: Simplify right side
    152,498x = 53,517,732,921
  5. Step 5: Solve for x
    x = 53,517,732,921/152,498
  6. Step 6: Final answer
    x = 350,940.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.