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Finding the Third Proportional to 106,789 and 234,895

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Solution

The third proportional to 106,789 and 234,895 is: 516,679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,789 : 234,895 = 234,895 : x
  2. Step 2: Convert to fraction form
    106,789/234,895 = 234,895/x
  3. Step 3: Cross multiply
    106,789x = 234,895 × 234,895
  4. Step 4: Simplify right side
    106,789x = 55,175,661,025
  5. Step 5: Solve for x
    x = 55,175,661,025/106,789
  6. Step 6: Final answer
    x = 516,679.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.