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Finding the Third Proportional to 110,565 and 259,686

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Solution

The third proportional to 110,565 and 259,686 is: 609,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,565 : 259,686 = 259,686 : x
  2. Step 2: Convert to fraction form
    110,565/259,686 = 259,686/x
  3. Step 3: Cross multiply
    110,565x = 259,686 × 259,686
  4. Step 4: Simplify right side
    110,565x = 67,436,818,596
  5. Step 5: Solve for x
    x = 67,436,818,596/110,565
  6. Step 6: Final answer
    x = 609,929.17

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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.