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Finding the Third Proportional to 202,225 and 303,986

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Solution

The third proportional to 202,225 and 303,986 is: 456,953.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,225 : 303,986 = 303,986 : x
  2. Step 2: Convert to fraction form
    202,225/303,986 = 303,986/x
  3. Step 3: Cross multiply
    202,225x = 303,986 × 303,986
  4. Step 4: Simplify right side
    202,225x = 92,407,488,196
  5. Step 5: Solve for x
    x = 92,407,488,196/202,225
  6. Step 6: Final answer
    x = 456,953.83

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