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Finding the Third Proportional to 161,716.50 and 231,565.50

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Solution

The third proportional to 161,716.50 and 231,565.50 is: 331,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,716.50 : 231,565.50 = 231,565.50 : x
  2. Step 2: Convert to fraction form
    161,716.50/231,565.50 = 231,565.50/x
  3. Step 3: Cross multiply
    161,716.50x = 231,565.50 × 231,565.50
  4. Step 4: Simplify right side
    161,716.50x = 53,622,580,790.25
  5. Step 5: Solve for x
    x = 53,622,580,790.25/161,716.50
  6. Step 6: Final answer
    x = 331,583.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.