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Finding the Third Proportional to 201,972 and 313,601

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Solution

The third proportional to 201,972 and 313,601 is: 486,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,972 : 313,601 = 313,601 : x
  2. Step 2: Convert to fraction form
    201,972/313,601 = 313,601/x
  3. Step 3: Cross multiply
    201,972x = 313,601 × 313,601
  4. Step 4: Simplify right side
    201,972x = 98,345,587,201
  5. Step 5: Solve for x
    x = 98,345,587,201/201,972
  6. Step 6: Final answer
    x = 486,926.84

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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.