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Finding the Third Proportional to 191,554 and 411,934

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Solution

The third proportional to 191,554 and 411,934 is: 885,857.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,554 : 411,934 = 411,934 : x
  2. Step 2: Convert to fraction form
    191,554/411,934 = 411,934/x
  3. Step 3: Cross multiply
    191,554x = 411,934 × 411,934
  4. Step 4: Simplify right side
    191,554x = 169,689,620,356
  5. Step 5: Solve for x
    x = 169,689,620,356/191,554
  6. Step 6: Final answer
    x = 885,857.88

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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.