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Finding the Third Proportional to 155,545.50 and 220,059

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Solution

The third proportional to 155,545.50 and 220,059 is: 311,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,545.50 : 220,059 = 220,059 : x
  2. Step 2: Convert to fraction form
    155,545.50/220,059 = 220,059/x
  3. Step 3: Cross multiply
    155,545.50x = 220,059 × 220,059
  4. Step 4: Simplify right side
    155,545.50x = 48,425,963,481
  5. Step 5: Solve for x
    x = 48,425,963,481/155,545.50
  6. Step 6: Final answer
    x = 311,329.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.