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Finding the Third Proportional to 231,882 and 368,860

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Solution

The third proportional to 231,882 and 368,860 is: 586,754.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,882 : 368,860 = 368,860 : x
  2. Step 2: Convert to fraction form
    231,882/368,860 = 368,860/x
  3. Step 3: Cross multiply
    231,882x = 368,860 × 368,860
  4. Step 4: Simplify right side
    231,882x = 136,057,699,600
  5. Step 5: Solve for x
    x = 136,057,699,600/231,882
  6. Step 6: Final answer
    x = 586,754.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.