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Finding the Third Proportional to 191,870 and 411,932

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Solution

The third proportional to 191,870 and 411,932 is: 884,390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,870 : 411,932 = 411,932 : x
  2. Step 2: Convert to fraction form
    191,870/411,932 = 411,932/x
  3. Step 3: Cross multiply
    191,870x = 411,932 × 411,932
  4. Step 4: Simplify right side
    191,870x = 169,687,972,624
  5. Step 5: Solve for x
    x = 169,687,972,624/191,870
  6. Step 6: Final answer
    x = 884,390.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.