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Finding the Third Proportional to 188,685 and 285,462

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Solution

The third proportional to 188,685 and 285,462 is: 431,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,685 : 285,462 = 285,462 : x
  2. Step 2: Convert to fraction form
    188,685/285,462 = 285,462/x
  3. Step 3: Cross multiply
    188,685x = 285,462 × 285,462
  4. Step 4: Simplify right side
    188,685x = 81,488,553,444
  5. Step 5: Solve for x
    x = 81,488,553,444/188,685
  6. Step 6: Final answer
    x = 431,876.16

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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.