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Finding the Third Proportional to 188,411.25 and 409,545.75

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Solution

The third proportional to 188,411.25 and 409,545.75 is: 890,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,411.25 : 409,545.75 = 409,545.75 : x
  2. Step 2: Convert to fraction form
    188,411.25/409,545.75 = 409,545.75/x
  3. Step 3: Cross multiply
    188,411.25x = 409,545.75 × 409,545.75
  4. Step 4: Simplify right side
    188,411.25x = 167,727,721,343.06
  5. Step 5: Solve for x
    x = 167,727,721,343.06/188,411.25
  6. Step 6: Final answer
    x = 890,221.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.