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Finding the Third Proportional to 161,229.75 and 241,817.25

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Solution

The third proportional to 161,229.75 and 241,817.25 is: 362,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,229.75 : 241,817.25 = 241,817.25 : x
  2. Step 2: Convert to fraction form
    161,229.75/241,817.25 = 241,817.25/x
  3. Step 3: Cross multiply
    161,229.75x = 241,817.25 × 241,817.25
  4. Step 4: Simplify right side
    161,229.75x = 58,475,582,397.56
  5. Step 5: Solve for x
    x = 58,475,582,397.56/161,229.75
  6. Step 6: Final answer
    x = 362,684.82

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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.