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Finding the Third Proportional to 218,162.25 and 320,061.38

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Solution

The third proportional to 218,162.25 and 320,061.38 is: 469,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,162.25 : 320,061.38 = 320,061.38 : x
  2. Step 2: Convert to fraction form
    218,162.25/320,061.38 = 320,061.38/x
  3. Step 3: Cross multiply
    218,162.25x = 320,061.38 × 320,061.38
  4. Step 4: Simplify right side
    218,162.25x = 102,439,283,766.89
  5. Step 5: Solve for x
    x = 102,439,283,766.89/218,162.25
  6. Step 6: Final answer
    x = 469,555.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.