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Finding the Third Proportional to 161,655.75 and 327,920.91

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Solution

The third proportional to 161,655.75 and 327,920.91 is: 665,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,655.75 : 327,920.91 = 327,920.91 : x
  2. Step 2: Convert to fraction form
    161,655.75/327,920.91 = 327,920.91/x
  3. Step 3: Cross multiply
    161,655.75x = 327,920.91 × 327,920.91
  4. Step 4: Simplify right side
    161,655.75x = 107,532,120,755.82
  5. Step 5: Solve for x
    x = 107,532,120,755.82/161,655.75
  6. Step 6: Final answer
    x = 665,192.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.