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Finding the Third Proportional to 110,736 and 241,770

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Solution

The third proportional to 110,736 and 241,770 is: 527,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,736 : 241,770 = 241,770 : x
  2. Step 2: Convert to fraction form
    110,736/241,770 = 241,770/x
  3. Step 3: Cross multiply
    110,736x = 241,770 × 241,770
  4. Step 4: Simplify right side
    110,736x = 58,452,732,900
  5. Step 5: Solve for x
    x = 58,452,732,900/110,736
  6. Step 6: Final answer
    x = 527,856.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.