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Finding the Third Proportional to 202,167 and 299,310.75

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Solution

The third proportional to 202,167 and 299,310.75 is: 443,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,167 : 299,310.75 = 299,310.75 : x
  2. Step 2: Convert to fraction form
    202,167/299,310.75 = 299,310.75/x
  3. Step 3: Cross multiply
    202,167x = 299,310.75 × 299,310.75
  4. Step 4: Simplify right side
    202,167x = 89,586,925,065.56
  5. Step 5: Solve for x
    x = 89,586,925,065.56/202,167
  6. Step 6: Final answer
    x = 443,133.28

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