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Finding the Third Proportional to 150,400.13 and 326,735.44

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Solution

The third proportional to 150,400.13 and 326,735.44 is: 709,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,400.13 : 326,735.44 = 326,735.44 : x
  2. Step 2: Convert to fraction form
    150,400.13/326,735.44 = 326,735.44/x
  3. Step 3: Cross multiply
    150,400.13x = 326,735.44 × 326,735.44
  4. Step 4: Simplify right side
    150,400.13x = 106,756,046,118.32
  5. Step 5: Solve for x
    x = 106,756,046,118.32/150,400.13
  6. Step 6: Final answer
    x = 709,813.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.