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Finding the Third Proportional to 202,171.50 and 299,315.25

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Solution

The third proportional to 202,171.50 and 299,315.25 is: 443,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,171.50 : 299,315.25 = 299,315.25 : x
  2. Step 2: Convert to fraction form
    202,171.50/299,315.25 = 299,315.25/x
  3. Step 3: Cross multiply
    202,171.50x = 299,315.25 × 299,315.25
  4. Step 4: Simplify right side
    202,171.50x = 89,589,618,882.56
  5. Step 5: Solve for x
    x = 89,589,618,882.56/202,171.50
  6. Step 6: Final answer
    x = 443,136.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.