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Finding the Third Proportional to 110,756 and 236,010

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Solution

The third proportional to 110,756 and 236,010 is: 502,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,756 : 236,010 = 236,010 : x
  2. Step 2: Convert to fraction form
    110,756/236,010 = 236,010/x
  3. Step 3: Cross multiply
    110,756x = 236,010 × 236,010
  4. Step 4: Simplify right side
    110,756x = 55,700,720,100
  5. Step 5: Solve for x
    x = 55,700,720,100/110,756
  6. Step 6: Final answer
    x = 502,913.79

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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.