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Finding the Third Proportional to 115,638 and 184,878

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Solution

The third proportional to 115,638 and 184,878 is: 295,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,638 : 184,878 = 184,878 : x
  2. Step 2: Convert to fraction form
    115,638/184,878 = 184,878/x
  3. Step 3: Cross multiply
    115,638x = 184,878 × 184,878
  4. Step 4: Simplify right side
    115,638x = 34,179,874,884
  5. Step 5: Solve for x
    x = 34,179,874,884/115,638
  6. Step 6: Final answer
    x = 295,576.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.