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Finding the Third Proportional to 201,872 and 313,469

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Solution

The third proportional to 201,872 and 313,469 is: 486,758.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,872 : 313,469 = 313,469 : x
  2. Step 2: Convert to fraction form
    201,872/313,469 = 313,469/x
  3. Step 3: Cross multiply
    201,872x = 313,469 × 313,469
  4. Step 4: Simplify right side
    201,872x = 98,262,813,961
  5. Step 5: Solve for x
    x = 98,262,813,961/201,872
  6. Step 6: Final answer
    x = 486,758.01

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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.