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Finding the Third Proportional to 110,822 and 240,112

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Solution

The third proportional to 110,822 and 240,112 is: 520,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,822 : 240,112 = 240,112 : x
  2. Step 2: Convert to fraction form
    110,822/240,112 = 240,112/x
  3. Step 3: Cross multiply
    110,822x = 240,112 × 240,112
  4. Step 4: Simplify right side
    110,822x = 57,653,772,544
  5. Step 5: Solve for x
    x = 57,653,772,544/110,822
  6. Step 6: Final answer
    x = 520,237.61

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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.