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Finding the Third Proportional to 188,654.06 and 285,418.69

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Solution

The third proportional to 188,654.06 and 285,418.69 is: 431,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,654.06 : 285,418.69 = 285,418.69 : x
  2. Step 2: Convert to fraction form
    188,654.06/285,418.69 = 285,418.69/x
  3. Step 3: Cross multiply
    188,654.06x = 285,418.69 × 285,418.69
  4. Step 4: Simplify right side
    188,654.06x = 81,463,827,174.22
  5. Step 5: Solve for x
    x = 81,463,827,174.22/188,654.06
  6. Step 6: Final answer
    x = 431,815.92

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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.