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Finding the Third Proportional to 170,218.13 and 256,062.09

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Solution

The third proportional to 170,218.13 and 256,062.09 is: 385,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,218.13 : 256,062.09 = 256,062.09 : x
  2. Step 2: Convert to fraction form
    170,218.13/256,062.09 = 256,062.09/x
  3. Step 3: Cross multiply
    170,218.13x = 256,062.09 × 256,062.09
  4. Step 4: Simplify right side
    170,218.13x = 65,567,795,855.63
  5. Step 5: Solve for x
    x = 65,567,795,855.63/170,218.13
  6. Step 6: Final answer
    x = 385,198.67

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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.