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Finding the Third Proportional to 216,900 and 447,192

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Solution

The third proportional to 216,900 and 447,192 is: 921,994.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,900 : 447,192 = 447,192 : x
  2. Step 2: Convert to fraction form
    216,900/447,192 = 447,192/x
  3. Step 3: Cross multiply
    216,900x = 447,192 × 447,192
  4. Step 4: Simplify right side
    216,900x = 199,980,684,864
  5. Step 5: Solve for x
    x = 199,980,684,864/216,900
  6. Step 6: Final answer
    x = 921,994.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.