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Finding the Third Proportional to 148,545.14 and 308,469.52

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Solution

The third proportional to 148,545.14 and 308,469.52 is: 640,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,545.14 : 308,469.52 = 308,469.52 : x
  2. Step 2: Convert to fraction form
    148,545.14/308,469.52 = 308,469.52/x
  3. Step 3: Cross multiply
    148,545.14x = 308,469.52 × 308,469.52
  4. Step 4: Simplify right side
    148,545.14x = 95,153,442,069.92
  5. Step 5: Solve for x
    x = 95,153,442,069.92/148,545.14
  6. Step 6: Final answer
    x = 640,569.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.