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Finding the Third Proportional to 118,718 and 184,885

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Solution

The third proportional to 118,718 and 184,885 is: 287,929.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,718 : 184,885 = 184,885 : x
  2. Step 2: Convert to fraction form
    118,718/184,885 = 184,885/x
  3. Step 3: Cross multiply
    118,718x = 184,885 × 184,885
  4. Step 4: Simplify right side
    118,718x = 34,182,463,225
  5. Step 5: Solve for x
    x = 34,182,463,225/118,718
  6. Step 6: Final answer
    x = 287,929.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.