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Finding the Third Proportional to 144,470 and 222,344

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Solution

The third proportional to 144,470 and 222,344 is: 342,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,470 : 222,344 = 222,344 : x
  2. Step 2: Convert to fraction form
    144,470/222,344 = 222,344/x
  3. Step 3: Cross multiply
    144,470x = 222,344 × 222,344
  4. Step 4: Simplify right side
    144,470x = 49,436,854,336
  5. Step 5: Solve for x
    x = 49,436,854,336/144,470
  6. Step 6: Final answer
    x = 342,194.60

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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.