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Finding the Third Proportional to 187,269.38 and 412,712.38

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Solution

The third proportional to 187,269.38 and 412,712.38 is: 909,553.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,269.38 : 412,712.38 = 412,712.38 : x
  2. Step 2: Convert to fraction form
    187,269.38/412,712.38 = 412,712.38/x
  3. Step 3: Cross multiply
    187,269.38x = 412,712.38 × 412,712.38
  4. Step 4: Simplify right side
    187,269.38x = 170,331,504,478.14
  5. Step 5: Solve for x
    x = 170,331,504,478.14/187,269.38
  6. Step 6: Final answer
    x = 909,553.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.