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Finding the Third Proportional to 140,948 and 218,388

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Solution

The third proportional to 140,948 and 218,388 is: 338,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,948 : 218,388 = 218,388 : x
  2. Step 2: Convert to fraction form
    140,948/218,388 = 218,388/x
  3. Step 3: Cross multiply
    140,948x = 218,388 × 218,388
  4. Step 4: Simplify right side
    140,948x = 47,693,318,544
  5. Step 5: Solve for x
    x = 47,693,318,544/140,948
  6. Step 6: Final answer
    x = 338,375.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.