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Finding the Third Proportional to 222,902 and 338,613

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Solution

The third proportional to 222,902 and 338,613 is: 514,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,902 : 338,613 = 338,613 : x
  2. Step 2: Convert to fraction form
    222,902/338,613 = 338,613/x
  3. Step 3: Cross multiply
    222,902x = 338,613 × 338,613
  4. Step 4: Simplify right side
    222,902x = 114,658,763,769
  5. Step 5: Solve for x
    x = 114,658,763,769/222,902
  6. Step 6: Final answer
    x = 514,390.92

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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.