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Finding the Third Proportional to 170,741.25 and 256,662

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Solution

The third proportional to 170,741.25 and 256,662 is: 385,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,741.25 : 256,662 = 256,662 : x
  2. Step 2: Convert to fraction form
    170,741.25/256,662 = 256,662/x
  3. Step 3: Cross multiply
    170,741.25x = 256,662 × 256,662
  4. Step 4: Simplify right side
    170,741.25x = 65,875,382,244
  5. Step 5: Solve for x
    x = 65,875,382,244/170,741.25
  6. Step 6: Final answer
    x = 385,819.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.