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Finding the Third Proportional to 184,728.38 and 397,082.81

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Solution

The third proportional to 184,728.38 and 397,082.81 is: 853,549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,728.38 : 397,082.81 = 397,082.81 : x
  2. Step 2: Convert to fraction form
    184,728.38/397,082.81 = 397,082.81/x
  3. Step 3: Cross multiply
    184,728.38x = 397,082.81 × 397,082.81
  4. Step 4: Simplify right side
    184,728.38x = 157,674,759,982.91
  5. Step 5: Solve for x
    x = 157,674,759,982.91/184,728.38
  6. Step 6: Final answer
    x = 853,549.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.