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Finding the Third Proportional to 144,877 and 224,324

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Solution

The third proportional to 144,877 and 224,324 is: 347,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,877 : 224,324 = 224,324 : x
  2. Step 2: Convert to fraction form
    144,877/224,324 = 224,324/x
  3. Step 3: Cross multiply
    144,877x = 224,324 × 224,324
  4. Step 4: Simplify right side
    144,877x = 50,321,256,976
  5. Step 5: Solve for x
    x = 50,321,256,976/144,877
  6. Step 6: Final answer
    x = 347,337.79

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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.