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Finding the Third Proportional to 222,234 and 338,818

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Solution

The third proportional to 222,234 and 338,818 is: 516,561.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,234 : 338,818 = 338,818 : x
  2. Step 2: Convert to fraction form
    222,234/338,818 = 338,818/x
  3. Step 3: Cross multiply
    222,234x = 338,818 × 338,818
  4. Step 4: Simplify right side
    222,234x = 114,797,637,124
  5. Step 5: Solve for x
    x = 114,797,637,124/222,234
  6. Step 6: Final answer
    x = 516,561.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.