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Finding the Third Proportional to 187,541 and 401,872

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Solution

The third proportional to 187,541 and 401,872 is: 861,150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,541 : 401,872 = 401,872 : x
  2. Step 2: Convert to fraction form
    187,541/401,872 = 401,872/x
  3. Step 3: Cross multiply
    187,541x = 401,872 × 401,872
  4. Step 4: Simplify right side
    187,541x = 161,501,104,384
  5. Step 5: Solve for x
    x = 161,501,104,384/187,541
  6. Step 6: Final answer
    x = 861,150.92

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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.