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Finding the Third Proportional to 187,373.25 and 408,989.25

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Solution

The third proportional to 187,373.25 and 408,989.25 is: 892,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,373.25 : 408,989.25 = 408,989.25 : x
  2. Step 2: Convert to fraction form
    187,373.25/408,989.25 = 408,989.25/x
  3. Step 3: Cross multiply
    187,373.25x = 408,989.25 × 408,989.25
  4. Step 4: Simplify right side
    187,373.25x = 167,272,206,615.56
  5. Step 5: Solve for x
    x = 167,272,206,615.56/187,373.25
  6. Step 6: Final answer
    x = 892,721.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.