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Finding the Third Proportional to 184,878 and 285,149.25

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Solution

The third proportional to 184,878 and 285,149.25 is: 439,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,878 : 285,149.25 = 285,149.25 : x
  2. Step 2: Convert to fraction form
    184,878/285,149.25 = 285,149.25/x
  3. Step 3: Cross multiply
    184,878x = 285,149.25 × 285,149.25
  4. Step 4: Simplify right side
    184,878x = 81,310,094,775.56
  5. Step 5: Solve for x
    x = 81,310,094,775.56/184,878
  6. Step 6: Final answer
    x = 439,804.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.