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Finding the Third Proportional to 201,733 and 303,470

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Solution

The third proportional to 201,733 and 303,470 is: 456,514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,733 : 303,470 = 303,470 : x
  2. Step 2: Convert to fraction form
    201,733/303,470 = 303,470/x
  3. Step 3: Cross multiply
    201,733x = 303,470 × 303,470
  4. Step 4: Simplify right side
    201,733x = 92,094,040,900
  5. Step 5: Solve for x
    x = 92,094,040,900/201,733
  6. Step 6: Final answer
    x = 456,514.51

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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.