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Finding the Third Proportional to 222,630 and 344,781

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Solution

The third proportional to 222,630 and 344,781 is: 533,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,630 : 344,781 = 344,781 : x
  2. Step 2: Convert to fraction form
    222,630/344,781 = 344,781/x
  3. Step 3: Cross multiply
    222,630x = 344,781 × 344,781
  4. Step 4: Simplify right side
    222,630x = 118,873,937,961
  5. Step 5: Solve for x
    x = 118,873,937,961/222,630
  6. Step 6: Final answer
    x = 533,952.92

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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.