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Finding the Third Proportional to 223,590 and 338,274

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Solution

The third proportional to 223,590 and 338,274 is: 511,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,590 : 338,274 = 338,274 : x
  2. Step 2: Convert to fraction form
    223,590/338,274 = 338,274/x
  3. Step 3: Cross multiply
    223,590x = 338,274 × 338,274
  4. Step 4: Simplify right side
    223,590x = 114,429,299,076
  5. Step 5: Solve for x
    x = 114,429,299,076/223,590
  6. Step 6: Final answer
    x = 511,781.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.