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Finding the Third Proportional to 107,188 and 228,626

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Solution

The third proportional to 107,188 and 228,626 is: 487,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,188 : 228,626 = 228,626 : x
  2. Step 2: Convert to fraction form
    107,188/228,626 = 228,626/x
  3. Step 3: Cross multiply
    107,188x = 228,626 × 228,626
  4. Step 4: Simplify right side
    107,188x = 52,269,847,876
  5. Step 5: Solve for x
    x = 52,269,847,876/107,188
  6. Step 6: Final answer
    x = 487,646.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.