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Finding the Third Proportional to 124,674.50 and 274,256

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Solution

The third proportional to 124,674.50 and 274,256 is: 603,301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,674.50 : 274,256 = 274,256 : x
  2. Step 2: Convert to fraction form
    124,674.50/274,256 = 274,256/x
  3. Step 3: Cross multiply
    124,674.50x = 274,256 × 274,256
  4. Step 4: Simplify right side
    124,674.50x = 75,216,353,536
  5. Step 5: Solve for x
    x = 75,216,353,536/124,674.50
  6. Step 6: Final answer
    x = 603,301.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.