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Finding the Third Proportional to 144,879 and 224,327

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Solution

The third proportional to 144,879 and 224,327 is: 347,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,879 : 224,327 = 224,327 : x
  2. Step 2: Convert to fraction form
    144,879/224,327 = 224,327/x
  3. Step 3: Cross multiply
    144,879x = 224,327 × 224,327
  4. Step 4: Simplify right side
    144,879x = 50,322,602,929
  5. Step 5: Solve for x
    x = 50,322,602,929/144,879
  6. Step 6: Final answer
    x = 347,342.29

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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.