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Finding the Third Proportional to 216,711.75 and 287,551.69

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Solution

The third proportional to 216,711.75 and 287,551.69 is: 381,548.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,711.75 : 287,551.69 = 287,551.69 : x
  2. Step 2: Convert to fraction form
    216,711.75/287,551.69 = 287,551.69/x
  3. Step 3: Cross multiply
    216,711.75x = 287,551.69 × 287,551.69
  4. Step 4: Simplify right side
    216,711.75x = 82,685,972,984.10
  5. Step 5: Solve for x
    x = 82,685,972,984.10/216,711.75
  6. Step 6: Final answer
    x = 381,548.18

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.