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Finding the Third Proportional to 174,109.50 and 234,906.75

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Solution

The third proportional to 174,109.50 and 234,906.75 is: 316,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,109.50 : 234,906.75 = 234,906.75 : x
  2. Step 2: Convert to fraction form
    174,109.50/234,906.75 = 234,906.75/x
  3. Step 3: Cross multiply
    174,109.50x = 234,906.75 × 234,906.75
  4. Step 4: Simplify right side
    174,109.50x = 55,181,181,195.56
  5. Step 5: Solve for x
    x = 55,181,181,195.56/174,109.50
  6. Step 6: Final answer
    x = 316,933.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.