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Finding the Third Proportional to 161,917.73 and 226,422.84

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Solution

The third proportional to 161,917.73 and 226,422.84 is: 316,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,917.73 : 226,422.84 = 226,422.84 : x
  2. Step 2: Convert to fraction form
    161,917.73/226,422.84 = 226,422.84/x
  3. Step 3: Cross multiply
    161,917.73x = 226,422.84 × 226,422.84
  4. Step 4: Simplify right side
    161,917.73x = 51,267,304,171.84
  5. Step 5: Solve for x
    x = 51,267,304,171.84/161,917.73
  6. Step 6: Final answer
    x = 316,625.63

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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.