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Finding the Third Proportional to 144,522 and 222,418

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Solution

The third proportional to 144,522 and 222,418 is: 342,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,522 : 222,418 = 222,418 : x
  2. Step 2: Convert to fraction form
    144,522/222,418 = 222,418/x
  3. Step 3: Cross multiply
    144,522x = 222,418 × 222,418
  4. Step 4: Simplify right side
    144,522x = 49,469,766,724
  5. Step 5: Solve for x
    x = 49,469,766,724/144,522
  6. Step 6: Final answer
    x = 342,299.21

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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.