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Finding the Third Proportional to 195,576.75 and 409,287.38

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Solution

The third proportional to 195,576.75 and 409,287.38 is: 856,523.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,576.75 : 409,287.38 = 409,287.38 : x
  2. Step 2: Convert to fraction form
    195,576.75/409,287.38 = 409,287.38/x
  3. Step 3: Cross multiply
    195,576.75x = 409,287.38 × 409,287.38
  4. Step 4: Simplify right side
    195,576.75x = 167,516,155,334.39
  5. Step 5: Solve for x
    x = 167,516,155,334.39/195,576.75
  6. Step 6: Final answer
    x = 856,523.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.