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Finding the Third Proportional to 149,222 and 225,274

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Solution

The third proportional to 149,222 and 225,274 is: 340,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,222 : 225,274 = 225,274 : x
  2. Step 2: Convert to fraction form
    149,222/225,274 = 225,274/x
  3. Step 3: Cross multiply
    149,222x = 225,274 × 225,274
  4. Step 4: Simplify right side
    149,222x = 50,748,375,076
  5. Step 5: Solve for x
    x = 50,748,375,076/149,222
  6. Step 6: Final answer
    x = 340,086.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.