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Finding the Third Proportional to 150,597 and 313,669

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Solution

The third proportional to 150,597 and 313,669 is: 653,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,597 : 313,669 = 313,669 : x
  2. Step 2: Convert to fraction form
    150,597/313,669 = 313,669/x
  3. Step 3: Cross multiply
    150,597x = 313,669 × 313,669
  4. Step 4: Simplify right side
    150,597x = 98,388,241,561
  5. Step 5: Solve for x
    x = 98,388,241,561/150,597
  6. Step 6: Final answer
    x = 653,321.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.