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Finding the Third Proportional to 157,204 and 222,226

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Solution

The third proportional to 157,204 and 222,226 is: 314,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,204 : 222,226 = 222,226 : x
  2. Step 2: Convert to fraction form
    157,204/222,226 = 222,226/x
  3. Step 3: Cross multiply
    157,204x = 222,226 × 222,226
  4. Step 4: Simplify right side
    157,204x = 49,384,395,076
  5. Step 5: Solve for x
    x = 49,384,395,076/157,204
  6. Step 6: Final answer
    x = 314,142.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.