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Finding the Third Proportional to 150,442 and 326,819

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Solution

The third proportional to 150,442 and 326,819 is: 709,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,442 : 326,819 = 326,819 : x
  2. Step 2: Convert to fraction form
    150,442/326,819 = 326,819/x
  3. Step 3: Cross multiply
    150,442x = 326,819 × 326,819
  4. Step 4: Simplify right side
    150,442x = 106,810,658,761
  5. Step 5: Solve for x
    x = 106,810,658,761/150,442
  6. Step 6: Final answer
    x = 709,978.99

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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.