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Finding the Third Proportional to 151,468.10 and 224,277.61

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Solution

The third proportional to 151,468.10 and 224,277.61 is: 332,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,468.10 : 224,277.61 = 224,277.61 : x
  2. Step 2: Convert to fraction form
    151,468.10/224,277.61 = 224,277.61/x
  3. Step 3: Cross multiply
    151,468.10x = 224,277.61 × 224,277.61
  4. Step 4: Simplify right side
    151,468.10x = 50,300,446,066.97
  5. Step 5: Solve for x
    x = 50,300,446,066.97/151,468.10
  6. Step 6: Final answer
    x = 332,086.07

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