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Finding the Third Proportional to 184,931 and 397,954

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Solution

The third proportional to 184,931 and 397,954 is: 856,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,931 : 397,954 = 397,954 : x
  2. Step 2: Convert to fraction form
    184,931/397,954 = 397,954/x
  3. Step 3: Cross multiply
    184,931x = 397,954 × 397,954
  4. Step 4: Simplify right side
    184,931x = 158,367,386,116
  5. Step 5: Solve for x
    x = 158,367,386,116/184,931
  6. Step 6: Final answer
    x = 856,359.32

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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.