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Finding the Third Proportional to 222,142 and 316,593

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Solution

The third proportional to 222,142 and 316,593 is: 451,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,142 : 316,593 = 316,593 : x
  2. Step 2: Convert to fraction form
    222,142/316,593 = 316,593/x
  3. Step 3: Cross multiply
    222,142x = 316,593 × 316,593
  4. Step 4: Simplify right side
    222,142x = 100,231,127,649
  5. Step 5: Solve for x
    x = 100,231,127,649/222,142
  6. Step 6: Final answer
    x = 451,202.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.