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Finding the Third Proportional to 188,083.69 and 291,556.97

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Solution

The third proportional to 188,083.69 and 291,556.97 is: 451,955.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,083.69 : 291,556.97 = 291,556.97 : x
  2. Step 2: Convert to fraction form
    188,083.69/291,556.97 = 291,556.97/x
  3. Step 3: Cross multiply
    188,083.69x = 291,556.97 × 291,556.97
  4. Step 4: Simplify right side
    188,083.69x = 85,005,466,026.69
  5. Step 5: Solve for x
    x = 85,005,466,026.69/188,083.69
  6. Step 6: Final answer
    x = 451,955.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.