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Finding the Third Proportional to 150,595 and 313,665

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Solution

The third proportional to 150,595 and 313,665 is: 653,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,595 : 313,665 = 313,665 : x
  2. Step 2: Convert to fraction form
    150,595/313,665 = 313,665/x
  3. Step 3: Cross multiply
    150,595x = 313,665 × 313,665
  4. Step 4: Simplify right side
    150,595x = 98,385,732,225
  5. Step 5: Solve for x
    x = 98,385,732,225/150,595
  6. Step 6: Final answer
    x = 653,313.40

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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.