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Finding the Third Proportional to 177,832.50 and 316,191.75

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Solution

The third proportional to 177,832.50 and 316,191.75 is: 562,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,832.50 : 316,191.75 = 316,191.75 : x
  2. Step 2: Convert to fraction form
    177,832.50/316,191.75 = 316,191.75/x
  3. Step 3: Cross multiply
    177,832.50x = 316,191.75 × 316,191.75
  4. Step 4: Simplify right side
    177,832.50x = 99,977,222,768.06
  5. Step 5: Solve for x
    x = 99,977,222,768.06/177,832.50
  6. Step 6: Final answer
    x = 562,198.83

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.