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Finding the Third Proportional to 110,222 and 234,864

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Solution

The third proportional to 110,222 and 234,864 is: 500,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,222 : 234,864 = 234,864 : x
  2. Step 2: Convert to fraction form
    110,222/234,864 = 234,864/x
  3. Step 3: Cross multiply
    110,222x = 234,864 × 234,864
  4. Step 4: Simplify right side
    110,222x = 55,161,098,496
  5. Step 5: Solve for x
    x = 55,161,098,496/110,222
  6. Step 6: Final answer
    x = 500,454.52

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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.