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Finding the Third Proportional to 202,797.75 and 318,114.75

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Solution

The third proportional to 202,797.75 and 318,114.75 is: 499,004.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,797.75 : 318,114.75 = 318,114.75 : x
  2. Step 2: Convert to fraction form
    202,797.75/318,114.75 = 318,114.75/x
  3. Step 3: Cross multiply
    202,797.75x = 318,114.75 × 318,114.75
  4. Step 4: Simplify right side
    202,797.75x = 101,196,994,167.56
  5. Step 5: Solve for x
    x = 101,196,994,167.56/202,797.75
  6. Step 6: Final answer
    x = 499,004.52

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.