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Finding the Third Proportional to 216,713 and 287,631

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Solution

The third proportional to 216,713 and 287,631 is: 381,756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,713 : 287,631 = 287,631 : x
  2. Step 2: Convert to fraction form
    216,713/287,631 = 287,631/x
  3. Step 3: Cross multiply
    216,713x = 287,631 × 287,631
  4. Step 4: Simplify right side
    216,713x = 82,731,592,161
  5. Step 5: Solve for x
    x = 82,731,592,161/216,713
  6. Step 6: Final answer
    x = 381,756.48

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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.