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Finding the Third Proportional to 218,168 and 320,068

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Solution

The third proportional to 218,168 and 320,068 is: 469,562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,168 : 320,068 = 320,068 : x
  2. Step 2: Convert to fraction form
    218,168/320,068 = 320,068/x
  3. Step 3: Cross multiply
    218,168x = 320,068 × 320,068
  4. Step 4: Simplify right side
    218,168x = 102,443,524,624
  5. Step 5: Solve for x
    x = 102,443,524,624/218,168
  6. Step 6: Final answer
    x = 469,562.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.