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Finding the Third Proportional to 216,715 and 287,634

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Solution

The third proportional to 216,715 and 287,634 is: 381,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,715 : 287,634 = 287,634 : x
  2. Step 2: Convert to fraction form
    216,715/287,634 = 287,634/x
  3. Step 3: Cross multiply
    216,715x = 287,634 × 287,634
  4. Step 4: Simplify right side
    216,715x = 82,733,317,956
  5. Step 5: Solve for x
    x = 82,733,317,956/216,715
  6. Step 6: Final answer
    x = 381,760.92

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Why These Related Problems?

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