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Finding the Third Proportional to 161,145.50 and 350,965

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Solution

The third proportional to 161,145.50 and 350,965 is: 764,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,145.50 : 350,965 = 350,965 : x
  2. Step 2: Convert to fraction form
    161,145.50/350,965 = 350,965/x
  3. Step 3: Cross multiply
    161,145.50x = 350,965 × 350,965
  4. Step 4: Simplify right side
    161,145.50x = 123,176,431,225
  5. Step 5: Solve for x
    x = 123,176,431,225/161,145.50
  6. Step 6: Final answer
    x = 764,380.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.