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Finding the Third Proportional to 216,758 and 287,688

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Solution

The third proportional to 216,758 and 287,688 is: 381,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,758 : 287,688 = 287,688 : x
  2. Step 2: Convert to fraction form
    216,758/287,688 = 287,688/x
  3. Step 3: Cross multiply
    216,758x = 287,688 × 287,688
  4. Step 4: Simplify right side
    216,758x = 82,764,385,344
  5. Step 5: Solve for x
    x = 82,764,385,344/216,758
  6. Step 6: Final answer
    x = 381,828.52

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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.