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Finding the Third Proportional to 110,625 and 259,836

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Solution

The third proportional to 110,625 and 259,836 is: 610,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,625 : 259,836 = 259,836 : x
  2. Step 2: Convert to fraction form
    110,625/259,836 = 259,836/x
  3. Step 3: Cross multiply
    110,625x = 259,836 × 259,836
  4. Step 4: Simplify right side
    110,625x = 67,514,746,896
  5. Step 5: Solve for x
    x = 67,514,746,896/110,625
  6. Step 6: Final answer
    x = 610,302.80

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.