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Finding the Third Proportional to 201,733.50 and 303,471

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Solution

The third proportional to 201,733.50 and 303,471 is: 456,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,733.50 : 303,471 = 303,471 : x
  2. Step 2: Convert to fraction form
    201,733.50/303,471 = 303,471/x
  3. Step 3: Cross multiply
    201,733.50x = 303,471 × 303,471
  4. Step 4: Simplify right side
    201,733.50x = 92,094,647,841
  5. Step 5: Solve for x
    x = 92,094,647,841/201,733.50
  6. Step 6: Final answer
    x = 456,516.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.