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Finding the Third Proportional to 161,901.75 and 226,463.25

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Solution

The third proportional to 161,901.75 and 226,463.25 is: 316,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,901.75 : 226,463.25 = 226,463.25 : x
  2. Step 2: Convert to fraction form
    161,901.75/226,463.25 = 226,463.25/x
  3. Step 3: Cross multiply
    161,901.75x = 226,463.25 × 226,463.25
  4. Step 4: Simplify right side
    161,901.75x = 51,285,603,600.56
  5. Step 5: Solve for x
    x = 51,285,603,600.56/161,901.75
  6. Step 6: Final answer
    x = 316,769.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.