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Finding the Third Proportional to 161,543.75 and 352,462.75

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Solution

The third proportional to 161,543.75 and 352,462.75 is: 769,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,543.75 : 352,462.75 = 352,462.75 : x
  2. Step 2: Convert to fraction form
    161,543.75/352,462.75 = 352,462.75/x
  3. Step 3: Cross multiply
    161,543.75x = 352,462.75 × 352,462.75
  4. Step 4: Simplify right side
    161,543.75x = 124,229,990,137.56
  5. Step 5: Solve for x
    x = 124,229,990,137.56/161,543.75
  6. Step 6: Final answer
    x = 769,017.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.