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Finding the Third Proportional to 222,166 and 316,629

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Solution

The third proportional to 222,166 and 316,629 is: 451,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,166 : 316,629 = 316,629 : x
  2. Step 2: Convert to fraction form
    222,166/316,629 = 316,629/x
  3. Step 3: Cross multiply
    222,166x = 316,629 × 316,629
  4. Step 4: Simplify right side
    222,166x = 100,253,923,641
  5. Step 5: Solve for x
    x = 100,253,923,641/222,166
  6. Step 6: Final answer
    x = 451,256.82

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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.