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Finding the Third Proportional to 187,249 and 400,741

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Solution

The third proportional to 187,249 and 400,741 is: 857,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,249 : 400,741 = 400,741 : x
  2. Step 2: Convert to fraction form
    187,249/400,741 = 400,741/x
  3. Step 3: Cross multiply
    187,249x = 400,741 × 400,741
  4. Step 4: Simplify right side
    187,249x = 160,593,349,081
  5. Step 5: Solve for x
    x = 160,593,349,081/187,249
  6. Step 6: Final answer
    x = 857,645.96

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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.