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Finding the Third Proportional to 202,164.19 and 299,305.13

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Solution

The third proportional to 202,164.19 and 299,305.13 is: 443,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,164.19 : 299,305.13 = 299,305.13 : x
  2. Step 2: Convert to fraction form
    202,164.19/299,305.13 = 299,305.13/x
  3. Step 3: Cross multiply
    202,164.19x = 299,305.13 × 299,305.13
  4. Step 4: Simplify right side
    202,164.19x = 89,583,557,851.27
  5. Step 5: Solve for x
    x = 89,583,557,851.27/202,164.19
  6. Step 6: Final answer
    x = 443,122.79

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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.