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Finding the Third Proportional to 184,969 and 277,478

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Solution

The third proportional to 184,969 and 277,478 is: 416,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,969 : 277,478 = 277,478 : x
  2. Step 2: Convert to fraction form
    184,969/277,478 = 277,478/x
  3. Step 3: Cross multiply
    184,969x = 277,478 × 277,478
  4. Step 4: Simplify right side
    184,969x = 76,994,040,484
  5. Step 5: Solve for x
    x = 76,994,040,484/184,969
  6. Step 6: Final answer
    x = 416,253.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.