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Finding the Third Proportional to 201,967 and 313,616

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Solution

The third proportional to 201,967 and 313,616 is: 486,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,967 : 313,616 = 313,616 : x
  2. Step 2: Convert to fraction form
    201,967/313,616 = 313,616/x
  3. Step 3: Cross multiply
    201,967x = 313,616 × 313,616
  4. Step 4: Simplify right side
    201,967x = 98,354,995,456
  5. Step 5: Solve for x
    x = 98,354,995,456/201,967
  6. Step 6: Final answer
    x = 486,985.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.