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Finding the Third Proportional to 188,654.25 and 284,745.75

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Solution

The third proportional to 188,654.25 and 284,745.75 is: 429,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,654.25 : 284,745.75 = 284,745.75 : x
  2. Step 2: Convert to fraction form
    188,654.25/284,745.75 = 284,745.75/x
  3. Step 3: Cross multiply
    188,654.25x = 284,745.75 × 284,745.75
  4. Step 4: Simplify right side
    188,654.25x = 81,080,142,143.06
  5. Step 5: Solve for x
    x = 81,080,142,143.06/188,654.25
  6. Step 6: Final answer
    x = 429,781.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.