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Finding the Third Proportional to 199,027 and 297,810

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Solution

The third proportional to 199,027 and 297,810 is: 445,621.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,027 : 297,810 = 297,810 : x
  2. Step 2: Convert to fraction form
    199,027/297,810 = 297,810/x
  3. Step 3: Cross multiply
    199,027x = 297,810 × 297,810
  4. Step 4: Simplify right side
    199,027x = 88,690,796,100
  5. Step 5: Solve for x
    x = 88,690,796,100/199,027
  6. Step 6: Final answer
    x = 445,621.93

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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.