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Finding the Third Proportional to 148,976 and 220,566.75

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Solution

The third proportional to 148,976 and 220,566.75 is: 326,560.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,976 : 220,566.75 = 220,566.75 : x
  2. Step 2: Convert to fraction form
    148,976/220,566.75 = 220,566.75/x
  3. Step 3: Cross multiply
    148,976x = 220,566.75 × 220,566.75
  4. Step 4: Simplify right side
    148,976x = 48,649,691,205.56
  5. Step 5: Solve for x
    x = 48,649,691,205.56/148,976
  6. Step 6: Final answer
    x = 326,560.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.