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Finding the Third Proportional to 109,817 and 240,647

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Solution

The third proportional to 109,817 and 240,647 is: 527,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,817 : 240,647 = 240,647 : x
  2. Step 2: Convert to fraction form
    109,817/240,647 = 240,647/x
  3. Step 3: Cross multiply
    109,817x = 240,647 × 240,647
  4. Step 4: Simplify right side
    109,817x = 57,910,978,609
  5. Step 5: Solve for x
    x = 57,910,978,609/109,817
  6. Step 6: Final answer
    x = 527,340.75

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