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Finding the Third Proportional to 188,897.25 and 285,165

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Solution

The third proportional to 188,897.25 and 285,165 is: 430,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,897.25 : 285,165 = 285,165 : x
  2. Step 2: Convert to fraction form
    188,897.25/285,165 = 285,165/x
  3. Step 3: Cross multiply
    188,897.25x = 285,165 × 285,165
  4. Step 4: Simplify right side
    188,897.25x = 81,319,077,225
  5. Step 5: Solve for x
    x = 81,319,077,225/188,897.25
  6. Step 6: Final answer
    x = 430,493.71

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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.