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Finding the Third Proportional to 184,963 and 403,141

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Solution

The third proportional to 184,963 and 403,141 is: 878,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,963 : 403,141 = 403,141 : x
  2. Step 2: Convert to fraction form
    184,963/403,141 = 403,141/x
  3. Step 3: Cross multiply
    184,963x = 403,141 × 403,141
  4. Step 4: Simplify right side
    184,963x = 162,522,665,881
  5. Step 5: Solve for x
    x = 162,522,665,881/184,963
  6. Step 6: Final answer
    x = 878,676.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.