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Finding the Third Proportional to 110,577 and 259,941

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Solution

The third proportional to 110,577 and 259,941 is: 611,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,577 : 259,941 = 259,941 : x
  2. Step 2: Convert to fraction form
    110,577/259,941 = 259,941/x
  3. Step 3: Cross multiply
    110,577x = 259,941 × 259,941
  4. Step 4: Simplify right side
    110,577x = 67,569,323,481
  5. Step 5: Solve for x
    x = 67,569,323,481/110,577
  6. Step 6: Final answer
    x = 611,061.28

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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.