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Finding the Third Proportional to 201,923 and 313,546

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Solution

The third proportional to 201,923 and 313,546 is: 486,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,923 : 313,546 = 313,546 : x
  2. Step 2: Convert to fraction form
    201,923/313,546 = 313,546/x
  3. Step 3: Cross multiply
    201,923x = 313,546 × 313,546
  4. Step 4: Simplify right side
    201,923x = 98,311,094,116
  5. Step 5: Solve for x
    x = 98,311,094,116/201,923
  6. Step 6: Final answer
    x = 486,874.18

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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.