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Finding the Third Proportional to 159,327 and 326,004.75

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Solution

The third proportional to 159,327 and 326,004.75 is: 667,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,327 : 326,004.75 = 326,004.75 : x
  2. Step 2: Convert to fraction form
    159,327/326,004.75 = 326,004.75/x
  3. Step 3: Cross multiply
    159,327x = 326,004.75 × 326,004.75
  4. Step 4: Simplify right side
    159,327x = 106,279,097,022.56
  5. Step 5: Solve for x
    x = 106,279,097,022.56/159,327
  6. Step 6: Final answer
    x = 667,050.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.