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Finding the Third Proportional to 110,612 and 236,744

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Solution

The third proportional to 110,612 and 236,744 is: 506,705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,612 : 236,744 = 236,744 : x
  2. Step 2: Convert to fraction form
    110,612/236,744 = 236,744/x
  3. Step 3: Cross multiply
    110,612x = 236,744 × 236,744
  4. Step 4: Simplify right side
    110,612x = 56,047,721,536
  5. Step 5: Solve for x
    x = 56,047,721,536/110,612
  6. Step 6: Final answer
    x = 506,705.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.