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Finding the Third Proportional to 224,319.38 and 344,793.38

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Solution

The third proportional to 224,319.38 and 344,793.38 is: 529,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,319.38 : 344,793.38 = 344,793.38 : x
  2. Step 2: Convert to fraction form
    224,319.38/344,793.38 = 344,793.38/x
  3. Step 3: Cross multiply
    224,319.38x = 344,793.38 × 344,793.38
  4. Step 4: Simplify right side
    224,319.38x = 118,882,471,443.89
  5. Step 5: Solve for x
    x = 118,882,471,443.89/224,319.38
  6. Step 6: Final answer
    x = 529,969.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.