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Finding the Third Proportional to 179,741.25 and 391,191.75

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Solution

The third proportional to 179,741.25 and 391,191.75 is: 851,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,741.25 : 391,191.75 = 391,191.75 : x
  2. Step 2: Convert to fraction form
    179,741.25/391,191.75 = 391,191.75/x
  3. Step 3: Cross multiply
    179,741.25x = 391,191.75 × 391,191.75
  4. Step 4: Simplify right side
    179,741.25x = 153,030,985,268.06
  5. Step 5: Solve for x
    x = 153,030,985,268.06/179,741.25
  6. Step 6: Final answer
    x = 851,396.02

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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.