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Finding the Third Proportional to 187,539 and 404,670

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Solution

The third proportional to 187,539 and 404,670 is: 873,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,539 : 404,670 = 404,670 : x
  2. Step 2: Convert to fraction form
    187,539/404,670 = 404,670/x
  3. Step 3: Cross multiply
    187,539x = 404,670 × 404,670
  4. Step 4: Simplify right side
    187,539x = 163,757,808,900
  5. Step 5: Solve for x
    x = 163,757,808,900/187,539
  6. Step 6: Final answer
    x = 873,193.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.