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Finding the Third Proportional to 110,760 and 240,216

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Solution

The third proportional to 110,760 and 240,216 is: 520,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,760 : 240,216 = 240,216 : x
  2. Step 2: Convert to fraction form
    110,760/240,216 = 240,216/x
  3. Step 3: Cross multiply
    110,760x = 240,216 × 240,216
  4. Step 4: Simplify right side
    110,760x = 57,703,726,656
  5. Step 5: Solve for x
    x = 57,703,726,656/110,760
  6. Step 6: Final answer
    x = 520,979.84

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Why These Related Problems?

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