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Finding the Third Proportional to 198,303 and 297,893.25

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Solution

The third proportional to 198,303 and 297,893.25 is: 447,498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,303 : 297,893.25 = 297,893.25 : x
  2. Step 2: Convert to fraction form
    198,303/297,893.25 = 297,893.25/x
  3. Step 3: Cross multiply
    198,303x = 297,893.25 × 297,893.25
  4. Step 4: Simplify right side
    198,303x = 88,740,388,395.56
  5. Step 5: Solve for x
    x = 88,740,388,395.56/198,303
  6. Step 6: Final answer
    x = 447,498.97

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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.