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Finding the Third Proportional to 150,615 and 326,026

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Solution

The third proportional to 150,615 and 326,026 is: 705,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,615 : 326,026 = 326,026 : x
  2. Step 2: Convert to fraction form
    150,615/326,026 = 326,026/x
  3. Step 3: Cross multiply
    150,615x = 326,026 × 326,026
  4. Step 4: Simplify right side
    150,615x = 106,292,952,676
  5. Step 5: Solve for x
    x = 106,292,952,676/150,615
  6. Step 6: Final answer
    x = 705,726.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.