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Finding the Third Proportional to 146,952.75 and 220,627.13

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Solution

The third proportional to 146,952.75 and 220,627.13 is: 331,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,952.75 : 220,627.13 = 220,627.13 : x
  2. Step 2: Convert to fraction form
    146,952.75/220,627.13 = 220,627.13/x
  3. Step 3: Cross multiply
    146,952.75x = 220,627.13 × 220,627.13
  4. Step 4: Simplify right side
    146,952.75x = 48,676,328,285.77
  5. Step 5: Solve for x
    x = 48,676,328,285.77/146,952.75
  6. Step 6: Final answer
    x = 331,237.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.