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Finding the Third Proportional to 150,267 and 317,301

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Solution

The third proportional to 150,267 and 317,301 is: 670,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,267 : 317,301 = 317,301 : x
  2. Step 2: Convert to fraction form
    150,267/317,301 = 317,301/x
  3. Step 3: Cross multiply
    150,267x = 317,301 × 317,301
  4. Step 4: Simplify right side
    150,267x = 100,679,924,601
  5. Step 5: Solve for x
    x = 100,679,924,601/150,267
  6. Step 6: Final answer
    x = 670,006.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.