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Finding the Third Proportional to 144,390 and 224,439

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Solution

The third proportional to 144,390 and 224,439 is: 348,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,390 : 224,439 = 224,439 : x
  2. Step 2: Convert to fraction form
    144,390/224,439 = 224,439/x
  3. Step 3: Cross multiply
    144,390x = 224,439 × 224,439
  4. Step 4: Simplify right side
    144,390x = 50,372,864,721
  5. Step 5: Solve for x
    x = 50,372,864,721/144,390
  6. Step 6: Final answer
    x = 348,866.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.