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Finding the Third Proportional to 188,693 and 285,474

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Solution

The third proportional to 188,693 and 285,474 is: 431,894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,693 : 285,474 = 285,474 : x
  2. Step 2: Convert to fraction form
    188,693/285,474 = 285,474/x
  3. Step 3: Cross multiply
    188,693x = 285,474 × 285,474
  4. Step 4: Simplify right side
    188,693x = 81,495,404,676
  5. Step 5: Solve for x
    x = 81,495,404,676/188,693
  6. Step 6: Final answer
    x = 431,894.16

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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.