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Finding the Third Proportional to 218,330 and 333,325

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Solution

The third proportional to 218,330 and 333,325 is: 508,888.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,330 : 333,325 = 333,325 : x
  2. Step 2: Convert to fraction form
    218,330/333,325 = 333,325/x
  3. Step 3: Cross multiply
    218,330x = 333,325 × 333,325
  4. Step 4: Simplify right side
    218,330x = 111,105,555,625
  5. Step 5: Solve for x
    x = 111,105,555,625/218,330
  6. Step 6: Final answer
    x = 508,888.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.