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Finding the Third Proportional to 202,965.75 and 321,369.75

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Solution

The third proportional to 202,965.75 and 321,369.75 is: 508,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,965.75 : 321,369.75 = 321,369.75 : x
  2. Step 2: Convert to fraction form
    202,965.75/321,369.75 = 321,369.75/x
  3. Step 3: Cross multiply
    202,965.75x = 321,369.75 × 321,369.75
  4. Step 4: Simplify right side
    202,965.75x = 103,278,516,215.06
  5. Step 5: Solve for x
    x = 103,278,516,215.06/202,965.75
  6. Step 6: Final answer
    x = 508,847.02

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.