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Finding the Third Proportional to 202,338 and 304,028.44

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Solution

The third proportional to 202,338 and 304,028.44 is: 456,826.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,338 : 304,028.44 = 304,028.44 : x
  2. Step 2: Convert to fraction form
    202,338/304,028.44 = 304,028.44/x
  3. Step 3: Cross multiply
    202,338x = 304,028.44 × 304,028.44
  4. Step 4: Simplify right side
    202,338x = 92,433,290,808.69
  5. Step 5: Solve for x
    x = 92,433,290,808.69/202,338
  6. Step 6: Final answer
    x = 456,826.16

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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.