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Finding the Third Proportional to 146,482 and 222,531

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Solution

The third proportional to 146,482 and 222,531 is: 338,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,482 : 222,531 = 222,531 : x
  2. Step 2: Convert to fraction form
    146,482/222,531 = 222,531/x
  3. Step 3: Cross multiply
    146,482x = 222,531 × 222,531
  4. Step 4: Simplify right side
    146,482x = 49,520,045,961
  5. Step 5: Solve for x
    x = 49,520,045,961/146,482
  6. Step 6: Final answer
    x = 338,062.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.