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Finding the Third Proportional to 184,716 and 398,961

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Solution

The third proportional to 184,716 and 398,961 is: 861,700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,716 : 398,961 = 398,961 : x
  2. Step 2: Convert to fraction form
    184,716/398,961 = 398,961/x
  3. Step 3: Cross multiply
    184,716x = 398,961 × 398,961
  4. Step 4: Simplify right side
    184,716x = 159,169,879,521
  5. Step 5: Solve for x
    x = 159,169,879,521/184,716
  6. Step 6: Final answer
    x = 861,700.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.