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Finding the Third Proportional to 107,470 and 234,626

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Solution

The third proportional to 107,470 and 234,626 is: 512,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,470 : 234,626 = 234,626 : x
  2. Step 2: Convert to fraction form
    107,470/234,626 = 234,626/x
  3. Step 3: Cross multiply
    107,470x = 234,626 × 234,626
  4. Step 4: Simplify right side
    107,470x = 55,049,359,876
  5. Step 5: Solve for x
    x = 55,049,359,876/107,470
  6. Step 6: Final answer
    x = 512,230.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.