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Finding the Third Proportional to 146,650.50 and 226,708.88

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Solution

The third proportional to 146,650.50 and 226,708.88 is: 350,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,650.50 : 226,708.88 = 226,708.88 : x
  2. Step 2: Convert to fraction form
    146,650.50/226,708.88 = 226,708.88/x
  3. Step 3: Cross multiply
    146,650.50x = 226,708.88 × 226,708.88
  4. Step 4: Simplify right side
    146,650.50x = 51,396,914,003.77
  5. Step 5: Solve for x
    x = 51,396,914,003.77/146,650.50
  6. Step 6: Final answer
    x = 350,472.14

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Why These Related Problems?

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