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Finding the Third Proportional to 110,908 and 235,660

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Solution

The third proportional to 110,908 and 235,660 is: 500,736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,908 : 235,660 = 235,660 : x
  2. Step 2: Convert to fraction form
    110,908/235,660 = 235,660/x
  3. Step 3: Cross multiply
    110,908x = 235,660 × 235,660
  4. Step 4: Simplify right side
    110,908x = 55,535,635,600
  5. Step 5: Solve for x
    x = 55,535,635,600/110,908
  6. Step 6: Final answer
    x = 500,736.07

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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.