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Finding the Third Proportional to 207,082.75 and 320,465.75

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Solution

The third proportional to 207,082.75 and 320,465.75 is: 495,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,082.75 : 320,465.75 = 320,465.75 : x
  2. Step 2: Convert to fraction form
    207,082.75/320,465.75 = 320,465.75/x
  3. Step 3: Cross multiply
    207,082.75x = 320,465.75 × 320,465.75
  4. Step 4: Simplify right side
    207,082.75x = 102,698,296,923.06
  5. Step 5: Solve for x
    x = 102,698,296,923.06/207,082.75
  6. Step 6: Final answer
    x = 495,928.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.