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Finding the Third Proportional to 187,262.25 and 409,558.13

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Solution

The third proportional to 187,262.25 and 409,558.13 is: 895,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,262.25 : 409,558.13 = 409,558.13 : x
  2. Step 2: Convert to fraction form
    187,262.25/409,558.13 = 409,558.13/x
  3. Step 3: Cross multiply
    187,262.25x = 409,558.13 × 409,558.13
  4. Step 4: Simplify right side
    187,262.25x = 167,737,857,753.52
  5. Step 5: Solve for x
    x = 167,737,857,753.52/187,262.25
  6. Step 6: Final answer
    x = 895,737.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.