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Finding the Third Proportional to 115,860 and 253,866

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Solution

The third proportional to 115,860 and 253,866 is: 556,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,860 : 253,866 = 253,866 : x
  2. Step 2: Convert to fraction form
    115,860/253,866 = 253,866/x
  3. Step 3: Cross multiply
    115,860x = 253,866 × 253,866
  4. Step 4: Simplify right side
    115,860x = 64,447,945,956
  5. Step 5: Solve for x
    x = 64,447,945,956/115,860
  6. Step 6: Final answer
    x = 556,257.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.