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Finding the Third Proportional to 148,685 and 222,379

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Solution

The third proportional to 148,685 and 222,379 is: 332,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,685 : 222,379 = 222,379 : x
  2. Step 2: Convert to fraction form
    148,685/222,379 = 222,379/x
  3. Step 3: Cross multiply
    148,685x = 222,379 × 222,379
  4. Step 4: Simplify right side
    148,685x = 49,452,419,641
  5. Step 5: Solve for x
    x = 49,452,419,641/148,685
  6. Step 6: Final answer
    x = 332,598.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.