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Finding the Third Proportional to 140,029 and 222,638

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Solution

The third proportional to 140,029 and 222,638 is: 353,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,029 : 222,638 = 222,638 : x
  2. Step 2: Convert to fraction form
    140,029/222,638 = 222,638/x
  3. Step 3: Cross multiply
    140,029x = 222,638 × 222,638
  4. Step 4: Simplify right side
    140,029x = 49,567,679,044
  5. Step 5: Solve for x
    x = 49,567,679,044/140,029
  6. Step 6: Final answer
    x = 353,981.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.