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Finding the Third Proportional to 158,296.50 and 332,993.25

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Solution

The third proportional to 158,296.50 and 332,993.25 is: 700,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,296.50 : 332,993.25 = 332,993.25 : x
  2. Step 2: Convert to fraction form
    158,296.50/332,993.25 = 332,993.25/x
  3. Step 3: Cross multiply
    158,296.50x = 332,993.25 × 332,993.25
  4. Step 4: Simplify right side
    158,296.50x = 110,884,504,545.56
  5. Step 5: Solve for x
    x = 110,884,504,545.56/158,296.50
  6. Step 6: Final answer
    x = 700,486.14

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.