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Finding the Third Proportional to 150,613.50 and 326,023.13

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Solution

The third proportional to 150,613.50 and 326,023.13 is: 705,720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,613.50 : 326,023.13 = 326,023.13 : x
  2. Step 2: Convert to fraction form
    150,613.50/326,023.13 = 326,023.13/x
  3. Step 3: Cross multiply
    150,613.50x = 326,023.13 × 326,023.13
  4. Step 4: Simplify right side
    150,613.50x = 106,291,078,034.77
  5. Step 5: Solve for x
    x = 106,291,078,034.77/150,613.50
  6. Step 6: Final answer
    x = 705,720.79

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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.