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Finding the Third Proportional to 148,012 and 225,701

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Solution

The third proportional to 148,012 and 225,701 is: 344,167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,012 : 225,701 = 225,701 : x
  2. Step 2: Convert to fraction form
    148,012/225,701 = 225,701/x
  3. Step 3: Cross multiply
    148,012x = 225,701 × 225,701
  4. Step 4: Simplify right side
    148,012x = 50,940,941,401
  5. Step 5: Solve for x
    x = 50,940,941,401/148,012
  6. Step 6: Final answer
    x = 344,167.64

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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.