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Finding the Third Proportional to 201,976 and 313,629

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Solution

The third proportional to 201,976 and 313,629 is: 487,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,976 : 313,629 = 313,629 : x
  2. Step 2: Convert to fraction form
    201,976/313,629 = 313,629/x
  3. Step 3: Cross multiply
    201,976x = 313,629 × 313,629
  4. Step 4: Simplify right side
    201,976x = 98,363,149,641
  5. Step 5: Solve for x
    x = 98,363,149,641/201,976
  6. Step 6: Final answer
    x = 487,004.15

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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.