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Finding the Third Proportional to 149,971 and 326,186

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Solution

The third proportional to 149,971 and 326,186 is: 709,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,971 : 326,186 = 326,186 : x
  2. Step 2: Convert to fraction form
    149,971/326,186 = 326,186/x
  3. Step 3: Cross multiply
    149,971x = 326,186 × 326,186
  4. Step 4: Simplify right side
    149,971x = 106,397,306,596
  5. Step 5: Solve for x
    x = 106,397,306,596/149,971
  6. Step 6: Final answer
    x = 709,452.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.