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Finding the Third Proportional to 120,726.56 and 262,229.34

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Solution

The third proportional to 120,726.56 and 262,229.34 is: 569,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,726.56 : 262,229.34 = 262,229.34 : x
  2. Step 2: Convert to fraction form
    120,726.56/262,229.34 = 262,229.34/x
  3. Step 3: Cross multiply
    120,726.56x = 262,229.34 × 262,229.34
  4. Step 4: Simplify right side
    120,726.56x = 68,764,228,723.56
  5. Step 5: Solve for x
    x = 68,764,228,723.56/120,726.56
  6. Step 6: Final answer
    x = 569,586.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.