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Finding the Third Proportional to 216,500 and 323,870

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Solution

The third proportional to 216,500 and 323,870 is: 484,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,500 : 323,870 = 323,870 : x
  2. Step 2: Convert to fraction form
    216,500/323,870 = 323,870/x
  3. Step 3: Cross multiply
    216,500x = 323,870 × 323,870
  4. Step 4: Simplify right side
    216,500x = 104,891,776,900
  5. Step 5: Solve for x
    x = 104,891,776,900/216,500
  6. Step 6: Final answer
    x = 484,488.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.