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Finding the Third Proportional to 146,073.38 and 220,069.41

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Solution

The third proportional to 146,073.38 and 220,069.41 is: 331,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,073.38 : 220,069.41 = 220,069.41 : x
  2. Step 2: Convert to fraction form
    146,073.38/220,069.41 = 220,069.41/x
  3. Step 3: Cross multiply
    146,073.38x = 220,069.41 × 220,069.41
  4. Step 4: Simplify right side
    146,073.38x = 48,430,543,567.23
  5. Step 5: Solve for x
    x = 48,430,543,567.23/146,073.38
  6. Step 6: Final answer
    x = 331,549.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.