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Finding the Third Proportional to 212,865 and 320,195

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Solution

The third proportional to 212,865 and 320,195 is: 481,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,865 : 320,195 = 320,195 : x
  2. Step 2: Convert to fraction form
    212,865/320,195 = 320,195/x
  3. Step 3: Cross multiply
    212,865x = 320,195 × 320,195
  4. Step 4: Simplify right side
    212,865x = 102,524,838,025
  5. Step 5: Solve for x
    x = 102,524,838,025/212,865
  6. Step 6: Final answer
    x = 481,642.53

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Why These Related Problems?

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