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Finding the Third Proportional to 111,756 and 236,424

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Solution

The third proportional to 111,756 and 236,424 is: 500,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,756 : 236,424 = 236,424 : x
  2. Step 2: Convert to fraction form
    111,756/236,424 = 236,424/x
  3. Step 3: Cross multiply
    111,756x = 236,424 × 236,424
  4. Step 4: Simplify right side
    111,756x = 55,896,307,776
  5. Step 5: Solve for x
    x = 55,896,307,776/111,756
  6. Step 6: Final answer
    x = 500,163.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.