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Finding the Third Proportional to 222,034 and 338,578

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Solution

The third proportional to 222,034 and 338,578 is: 516,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,034 : 338,578 = 338,578 : x
  2. Step 2: Convert to fraction form
    222,034/338,578 = 338,578/x
  3. Step 3: Cross multiply
    222,034x = 338,578 × 338,578
  4. Step 4: Simplify right side
    222,034x = 114,635,062,084
  5. Step 5: Solve for x
    x = 114,635,062,084/222,034
  6. Step 6: Final answer
    x = 516,295.08

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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.