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Finding the Third Proportional to 202,672.13 and 304,008.19

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Solution

The third proportional to 202,672.13 and 304,008.19 is: 456,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,672.13 : 304,008.19 = 304,008.19 : x
  2. Step 2: Convert to fraction form
    202,672.13/304,008.19 = 304,008.19/x
  3. Step 3: Cross multiply
    202,672.13x = 304,008.19 × 304,008.19
  4. Step 4: Simplify right side
    202,672.13x = 92,420,978,067.04
  5. Step 5: Solve for x
    x = 92,420,978,067.04/202,672.13
  6. Step 6: Final answer
    x = 456,012.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.