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Finding the Third Proportional to 216,696 and 287,604

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Solution

The third proportional to 216,696 and 287,604 is: 381,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,696 : 287,604 = 287,604 : x
  2. Step 2: Convert to fraction form
    216,696/287,604 = 287,604/x
  3. Step 3: Cross multiply
    216,696x = 287,604 × 287,604
  4. Step 4: Simplify right side
    216,696x = 82,716,060,816
  5. Step 5: Solve for x
    x = 82,716,060,816/216,696
  6. Step 6: Final answer
    x = 381,714.76

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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.