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Finding the Third Proportional to 184,959 and 277,462.50

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Solution

The third proportional to 184,959 and 277,462.50 is: 416,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,959 : 277,462.50 = 277,462.50 : x
  2. Step 2: Convert to fraction form
    184,959/277,462.50 = 277,462.50/x
  3. Step 3: Cross multiply
    184,959x = 277,462.50 × 277,462.50
  4. Step 4: Simplify right side
    184,959x = 76,985,438,906.25
  5. Step 5: Solve for x
    x = 76,985,438,906.25/184,959
  6. Step 6: Final answer
    x = 416,229.75

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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.