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Finding the Third Proportional to 184,782 and 399,108

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Solution

The third proportional to 184,782 and 399,108 is: 862,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,782 : 399,108 = 399,108 : x
  2. Step 2: Convert to fraction form
    184,782/399,108 = 399,108/x
  3. Step 3: Cross multiply
    184,782x = 399,108 × 399,108
  4. Step 4: Simplify right side
    184,782x = 159,287,195,664
  5. Step 5: Solve for x
    x = 159,287,195,664/184,782
  6. Step 6: Final answer
    x = 862,027.66

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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.