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Finding the Third Proportional to 187,614 and 401,471

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Solution

The third proportional to 187,614 and 401,471 is: 859,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,614 : 401,471 = 401,471 : x
  2. Step 2: Convert to fraction form
    187,614/401,471 = 401,471/x
  3. Step 3: Cross multiply
    187,614x = 401,471 × 401,471
  4. Step 4: Simplify right side
    187,614x = 161,178,963,841
  5. Step 5: Solve for x
    x = 161,178,963,841/187,614
  6. Step 6: Final answer
    x = 859,098.81

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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.