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Finding the Third Proportional to 201,328 and 311,334

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Solution

The third proportional to 201,328 and 311,334 is: 481,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,328 : 311,334 = 311,334 : x
  2. Step 2: Convert to fraction form
    201,328/311,334 = 311,334/x
  3. Step 3: Cross multiply
    201,328x = 311,334 × 311,334
  4. Step 4: Simplify right side
    201,328x = 96,928,859,556
  5. Step 5: Solve for x
    x = 96,928,859,556/201,328
  6. Step 6: Final answer
    x = 481,447.49

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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.