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Finding the Third Proportional to 105,458 and 248,939

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Solution

The third proportional to 105,458 and 248,939 is: 587,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,458 : 248,939 = 248,939 : x
  2. Step 2: Convert to fraction form
    105,458/248,939 = 248,939/x
  3. Step 3: Cross multiply
    105,458x = 248,939 × 248,939
  4. Step 4: Simplify right side
    105,458x = 61,970,625,721
  5. Step 5: Solve for x
    x = 61,970,625,721/105,458
  6. Step 6: Final answer
    x = 587,633.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.