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Finding the Third Proportional to 198,305.25 and 297,897

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Solution

The third proportional to 198,305.25 and 297,897 is: 447,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,305.25 : 297,897 = 297,897 : x
  2. Step 2: Convert to fraction form
    198,305.25/297,897 = 297,897/x
  3. Step 3: Cross multiply
    198,305.25x = 297,897 × 297,897
  4. Step 4: Simplify right side
    198,305.25x = 88,742,622,609
  5. Step 5: Solve for x
    x = 88,742,622,609/198,305.25
  6. Step 6: Final answer
    x = 447,505.16

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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.