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Finding the Third Proportional to 151,498.13 and 224,318.81

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Solution

The third proportional to 151,498.13 and 224,318.81 is: 332,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,498.13 : 224,318.81 = 224,318.81 : x
  2. Step 2: Convert to fraction form
    151,498.13/224,318.81 = 224,318.81/x
  3. Step 3: Cross multiply
    151,498.13x = 224,318.81 × 224,318.81
  4. Step 4: Simplify right side
    151,498.13x = 50,318,929,641.41
  5. Step 5: Solve for x
    x = 50,318,929,641.41/151,498.13
  6. Step 6: Final answer
    x = 332,142.26

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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.