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Finding the Third Proportional to 201,744 and 293,112

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Solution

The third proportional to 201,744 and 293,112 is: 425,859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,744 : 293,112 = 293,112 : x
  2. Step 2: Convert to fraction form
    201,744/293,112 = 293,112/x
  3. Step 3: Cross multiply
    201,744x = 293,112 × 293,112
  4. Step 4: Simplify right side
    201,744x = 85,914,644,544
  5. Step 5: Solve for x
    x = 85,914,644,544/201,744
  6. Step 6: Final answer
    x = 425,859.73

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.