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Finding the Third Proportional to 69,933.38 and 152,280

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Solution

The third proportional to 69,933.38 and 152,280 is: 331,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,933.38 : 152,280 = 152,280 : x
  2. Step 2: Convert to fraction form
    69,933.38/152,280 = 152,280/x
  3. Step 3: Cross multiply
    69,933.38x = 152,280 × 152,280
  4. Step 4: Simplify right side
    69,933.38x = 23,189,198,400
  5. Step 5: Solve for x
    x = 23,189,198,400/69,933.38
  6. Step 6: Final answer
    x = 331,589.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.