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Finding the Third Proportional to 110,218 and 234,856

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Solution

The third proportional to 110,218 and 234,856 is: 500,438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,218 : 234,856 = 234,856 : x
  2. Step 2: Convert to fraction form
    110,218/234,856 = 234,856/x
  3. Step 3: Cross multiply
    110,218x = 234,856 × 234,856
  4. Step 4: Simplify right side
    110,218x = 55,157,340,736
  5. Step 5: Solve for x
    x = 55,157,340,736/110,218
  6. Step 6: Final answer
    x = 500,438.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.