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Finding the Third Proportional to 201,171.94 and 303,808.22

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Solution

The third proportional to 201,171.94 and 303,808.22 is: 458,808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,171.94 : 303,808.22 = 303,808.22 : x
  2. Step 2: Convert to fraction form
    201,171.94/303,808.22 = 303,808.22/x
  3. Step 3: Cross multiply
    201,171.94x = 303,808.22 × 303,808.22
  4. Step 4: Simplify right side
    201,171.94x = 92,299,433,780.05
  5. Step 5: Solve for x
    x = 92,299,433,780.05/201,171.94
  6. Step 6: Final answer
    x = 458,808.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.