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Finding the Third Proportional to 148,046 and 225,750

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Solution

The third proportional to 148,046 and 225,750 is: 344,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,046 : 225,750 = 225,750 : x
  2. Step 2: Convert to fraction form
    148,046/225,750 = 225,750/x
  3. Step 3: Cross multiply
    148,046x = 225,750 × 225,750
  4. Step 4: Simplify right side
    148,046x = 50,963,062,500
  5. Step 5: Solve for x
    x = 50,963,062,500/148,046
  6. Step 6: Final answer
    x = 344,238.02

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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.