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Finding the Third Proportional to 170,674 and 226,478

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Solution

The third proportional to 170,674 and 226,478 is: 300,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,674 : 226,478 = 226,478 : x
  2. Step 2: Convert to fraction form
    170,674/226,478 = 226,478/x
  3. Step 3: Cross multiply
    170,674x = 226,478 × 226,478
  4. Step 4: Simplify right side
    170,674x = 51,292,284,484
  5. Step 5: Solve for x
    x = 51,292,284,484/170,674
  6. Step 6: Final answer
    x = 300,527.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.