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Finding the Third Proportional to 148,550.20 and 320,780.88

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Solution

The third proportional to 148,550.20 and 320,780.88 is: 692,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,550.20 : 320,780.88 = 320,780.88 : x
  2. Step 2: Convert to fraction form
    148,550.20/320,780.88 = 320,780.88/x
  3. Step 3: Cross multiply
    148,550.20x = 320,780.88 × 320,780.88
  4. Step 4: Simplify right side
    148,550.20x = 102,900,374,777.97
  5. Step 5: Solve for x
    x = 102,900,374,777.97/148,550.20
  6. Step 6: Final answer
    x = 692,697.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.