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Finding the Third Proportional to 85,758.75 and 227,632.78

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Solution

The third proportional to 85,758.75 and 227,632.78 is: 604,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,758.75 : 227,632.78 = 227,632.78 : x
  2. Step 2: Convert to fraction form
    85,758.75/227,632.78 = 227,632.78/x
  3. Step 3: Cross multiply
    85,758.75x = 227,632.78 × 227,632.78
  4. Step 4: Simplify right side
    85,758.75x = 51,816,683,099.61
  5. Step 5: Solve for x
    x = 51,816,683,099.61/85,758.75
  6. Step 6: Final answer
    x = 604,214.53

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These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.