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Finding the Third Proportional to 144,469 and 224,573

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Solution

The third proportional to 144,469 and 224,573 is: 349,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,469 : 224,573 = 224,573 : x
  2. Step 2: Convert to fraction form
    144,469/224,573 = 224,573/x
  3. Step 3: Cross multiply
    144,469x = 224,573 × 224,573
  4. Step 4: Simplify right side
    144,469x = 50,433,032,329
  5. Step 5: Solve for x
    x = 50,433,032,329/144,469
  6. Step 6: Final answer
    x = 349,092.42

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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.