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Finding the Third Proportional to 216,341 and 322,711

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Solution

The third proportional to 216,341 and 322,711 is: 481,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,341 : 322,711 = 322,711 : x
  2. Step 2: Convert to fraction form
    216,341/322,711 = 322,711/x
  3. Step 3: Cross multiply
    216,341x = 322,711 × 322,711
  4. Step 4: Simplify right side
    216,341x = 104,142,389,521
  5. Step 5: Solve for x
    x = 104,142,389,521/216,341
  6. Step 6: Final answer
    x = 481,380.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.