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Finding the Third Proportional to 191,015 and 411,373

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Solution

The third proportional to 191,015 and 411,373 is: 885,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,015 : 411,373 = 411,373 : x
  2. Step 2: Convert to fraction form
    191,015/411,373 = 411,373/x
  3. Step 3: Cross multiply
    191,015x = 411,373 × 411,373
  4. Step 4: Simplify right side
    191,015x = 169,227,745,129
  5. Step 5: Solve for x
    x = 169,227,745,129/191,015
  6. Step 6: Final answer
    x = 885,939.56

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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.