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Finding the Third Proportional to 148,831 and 223,577

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Solution

The third proportional to 148,831 and 223,577 is: 335,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,831 : 223,577 = 223,577 : x
  2. Step 2: Convert to fraction form
    148,831/223,577 = 223,577/x
  3. Step 3: Cross multiply
    148,831x = 223,577 × 223,577
  4. Step 4: Simplify right side
    148,831x = 49,986,674,929
  5. Step 5: Solve for x
    x = 49,986,674,929/148,831
  6. Step 6: Final answer
    x = 335,861.98

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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.