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Finding the Third Proportional to 217,739.25 and 342,162

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Solution

The third proportional to 217,739.25 and 342,162 is: 537,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,739.25 : 342,162 = 342,162 : x
  2. Step 2: Convert to fraction form
    217,739.25/342,162 = 342,162/x
  3. Step 3: Cross multiply
    217,739.25x = 342,162 × 342,162
  4. Step 4: Simplify right side
    217,739.25x = 117,074,834,244
  5. Step 5: Solve for x
    x = 117,074,834,244/217,739.25
  6. Step 6: Final answer
    x = 537,683.65

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.