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Finding the Third Proportional to 126,230.91 and 274,605.19

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Solution

The third proportional to 126,230.91 and 274,605.19 is: 597,381.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,230.91 : 274,605.19 = 274,605.19 : x
  2. Step 2: Convert to fraction form
    126,230.91/274,605.19 = 274,605.19/x
  3. Step 3: Cross multiply
    126,230.91x = 274,605.19 × 274,605.19
  4. Step 4: Simplify right side
    126,230.91x = 75,408,009,001.91
  5. Step 5: Solve for x
    x = 75,408,009,001.91/126,230.91
  6. Step 6: Final answer
    x = 597,381.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.