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Finding the Third Proportional to 191,724 and 411,204

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Solution

The third proportional to 191,724 and 411,204 is: 881,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,724 : 411,204 = 411,204 : x
  2. Step 2: Convert to fraction form
    191,724/411,204 = 411,204/x
  3. Step 3: Cross multiply
    191,724x = 411,204 × 411,204
  4. Step 4: Simplify right side
    191,724x = 169,088,729,616
  5. Step 5: Solve for x
    x = 169,088,729,616/191,724
  6. Step 6: Final answer
    x = 881,938.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.