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Finding the Third Proportional to 201,977 and 313,631

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Solution

The third proportional to 201,977 and 313,631 is: 487,007.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,977 : 313,631 = 313,631 : x
  2. Step 2: Convert to fraction form
    201,977/313,631 = 313,631/x
  3. Step 3: Cross multiply
    201,977x = 313,631 × 313,631
  4. Step 4: Simplify right side
    201,977x = 98,364,404,161
  5. Step 5: Solve for x
    x = 98,364,404,161/201,977
  6. Step 6: Final answer
    x = 487,007.95

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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.