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Finding the Third Proportional to 184,776 and 399,096

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Solution

The third proportional to 184,776 and 399,096 is: 862,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,776 : 399,096 = 399,096 : x
  2. Step 2: Convert to fraction form
    184,776/399,096 = 399,096/x
  3. Step 3: Cross multiply
    184,776x = 399,096 × 399,096
  4. Step 4: Simplify right side
    184,776x = 159,277,617,216
  5. Step 5: Solve for x
    x = 159,277,617,216/184,776
  6. Step 6: Final answer
    x = 862,003.82

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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.