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Finding the Third Proportional to 148,086 and 224,676

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Solution

The third proportional to 148,086 and 224,676 is: 340,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,086 : 224,676 = 224,676 : x
  2. Step 2: Convert to fraction form
    148,086/224,676 = 224,676/x
  3. Step 3: Cross multiply
    148,086x = 224,676 × 224,676
  4. Step 4: Simplify right side
    148,086x = 50,479,304,976
  5. Step 5: Solve for x
    x = 50,479,304,976/148,086
  6. Step 6: Final answer
    x = 340,878.31

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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.