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Finding the Third Proportional to 222,580 and 344,934

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Solution

The third proportional to 222,580 and 344,934 is: 534,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,580 : 344,934 = 344,934 : x
  2. Step 2: Convert to fraction form
    222,580/344,934 = 344,934/x
  3. Step 3: Cross multiply
    222,580x = 344,934 × 344,934
  4. Step 4: Simplify right side
    222,580x = 118,979,464,356
  5. Step 5: Solve for x
    x = 118,979,464,356/222,580
  6. Step 6: Final answer
    x = 534,546.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.