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Finding the Third Proportional to 151,497 and 227,245.50

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Solution

The third proportional to 151,497 and 227,245.50 is: 340,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,497 : 227,245.50 = 227,245.50 : x
  2. Step 2: Convert to fraction form
    151,497/227,245.50 = 227,245.50/x
  3. Step 3: Cross multiply
    151,497x = 227,245.50 × 227,245.50
  4. Step 4: Simplify right side
    151,497x = 51,640,517,270.25
  5. Step 5: Solve for x
    x = 51,640,517,270.25/151,497
  6. Step 6: Final answer
    x = 340,868.25

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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.