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Finding the Third Proportional to 137,998.69 and 202,454.44

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Solution

The third proportional to 137,998.69 and 202,454.44 is: 297,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,998.69 : 202,454.44 = 202,454.44 : x
  2. Step 2: Convert to fraction form
    137,998.69/202,454.44 = 202,454.44/x
  3. Step 3: Cross multiply
    137,998.69x = 202,454.44 × 202,454.44
  4. Step 4: Simplify right side
    137,998.69x = 40,987,799,263.44
  5. Step 5: Solve for x
    x = 40,987,799,263.44/137,998.69
  6. Step 6: Final answer
    x = 297,015.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.