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Finding the Third Proportional to 184,980 and 398,022

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Solution

The third proportional to 184,980 and 398,022 is: 856,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,980 : 398,022 = 398,022 : x
  2. Step 2: Convert to fraction form
    184,980/398,022 = 398,022/x
  3. Step 3: Cross multiply
    184,980x = 398,022 × 398,022
  4. Step 4: Simplify right side
    184,980x = 158,421,512,484
  5. Step 5: Solve for x
    x = 158,421,512,484/184,980
  6. Step 6: Final answer
    x = 856,425.09

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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.