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Finding the Third Proportional to 110,396 and 240,000

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Solution

The third proportional to 110,396 and 240,000 is: 521,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,396 : 240,000 = 240,000 : x
  2. Step 2: Convert to fraction form
    110,396/240,000 = 240,000/x
  3. Step 3: Cross multiply
    110,396x = 240,000 × 240,000
  4. Step 4: Simplify right side
    110,396x = 57,600,000,000
  5. Step 5: Solve for x
    x = 57,600,000,000/110,396
  6. Step 6: Final answer
    x = 521,758.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.