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Finding the Third Proportional to 187,031 and 398,493

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Solution

The third proportional to 187,031 and 398,493 is: 849,039.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,031 : 398,493 = 398,493 : x
  2. Step 2: Convert to fraction form
    187,031/398,493 = 398,493/x
  3. Step 3: Cross multiply
    187,031x = 398,493 × 398,493
  4. Step 4: Simplify right side
    187,031x = 158,796,671,049
  5. Step 5: Solve for x
    x = 158,796,671,049/187,031
  6. Step 6: Final answer
    x = 849,039.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.