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Finding the Third Proportional to 148,066.73 and 223,432.80

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Solution

The third proportional to 148,066.73 and 223,432.80 is: 337,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,066.73 : 223,432.80 = 223,432.80 : x
  2. Step 2: Convert to fraction form
    148,066.73/223,432.80 = 223,432.80/x
  3. Step 3: Cross multiply
    148,066.73x = 223,432.80 × 223,432.80
  4. Step 4: Simplify right side
    148,066.73x = 49,922,218,210.52
  5. Step 5: Solve for x
    x = 49,922,218,210.52/148,066.73
  6. Step 6: Final answer
    x = 337,160.26

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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.