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Finding the Third Proportional to 216,669 and 287,566

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Solution

The third proportional to 216,669 and 287,566 is: 381,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,669 : 287,566 = 287,566 : x
  2. Step 2: Convert to fraction form
    216,669/287,566 = 287,566/x
  3. Step 3: Cross multiply
    216,669x = 287,566 × 287,566
  4. Step 4: Simplify right side
    216,669x = 82,694,204,356
  5. Step 5: Solve for x
    x = 82,694,204,356/216,669
  6. Step 6: Final answer
    x = 381,661.45

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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.