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Finding the Third Proportional to 150,405.19 and 326,745.56

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Solution

The third proportional to 150,405.19 and 326,745.56 is: 709,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,405.19 : 326,745.56 = 326,745.56 : x
  2. Step 2: Convert to fraction form
    150,405.19/326,745.56 = 326,745.56/x
  3. Step 3: Cross multiply
    150,405.19x = 326,745.56 × 326,745.56
  4. Step 4: Simplify right side
    150,405.19x = 106,762,662,613.44
  5. Step 5: Solve for x
    x = 106,762,662,613.44/150,405.19
  6. Step 6: Final answer
    x = 709,833.65

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Why These Related Problems?

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