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Finding the Third Proportional to 187,924 and 395,522

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Solution

The third proportional to 187,924 and 395,522 is: 832,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,924 : 395,522 = 395,522 : x
  2. Step 2: Convert to fraction form
    187,924/395,522 = 395,522/x
  3. Step 3: Cross multiply
    187,924x = 395,522 × 395,522
  4. Step 4: Simplify right side
    187,924x = 156,437,652,484
  5. Step 5: Solve for x
    x = 156,437,652,484/187,924
  6. Step 6: Final answer
    x = 832,451.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.