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Finding the Third Proportional to 133,189.50 and 201,165

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Solution

The third proportional to 133,189.50 and 201,165 is: 303,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,189.50 : 201,165 = 201,165 : x
  2. Step 2: Convert to fraction form
    133,189.50/201,165 = 201,165/x
  3. Step 3: Cross multiply
    133,189.50x = 201,165 × 201,165
  4. Step 4: Simplify right side
    133,189.50x = 40,467,357,225
  5. Step 5: Solve for x
    x = 40,467,357,225/133,189.50
  6. Step 6: Final answer
    x = 303,832.94

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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.