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Finding the Third Proportional to 150,656 and 313,794

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Solution

The third proportional to 150,656 and 313,794 is: 653,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,656 : 313,794 = 313,794 : x
  2. Step 2: Convert to fraction form
    150,656/313,794 = 313,794/x
  3. Step 3: Cross multiply
    150,656x = 313,794 × 313,794
  4. Step 4: Simplify right side
    150,656x = 98,466,674,436
  5. Step 5: Solve for x
    x = 98,466,674,436/150,656
  6. Step 6: Final answer
    x = 653,586.15

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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.