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Finding the Third Proportional to 148,497.75 and 224,016.75

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Solution

The third proportional to 148,497.75 and 224,016.75 is: 337,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,497.75 : 224,016.75 = 224,016.75 : x
  2. Step 2: Convert to fraction form
    148,497.75/224,016.75 = 224,016.75/x
  3. Step 3: Cross multiply
    148,497.75x = 224,016.75 × 224,016.75
  4. Step 4: Simplify right side
    148,497.75x = 50,183,504,280.56
  5. Step 5: Solve for x
    x = 50,183,504,280.56/148,497.75
  6. Step 6: Final answer
    x = 337,941.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.