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Finding the Third Proportional to 188,514.75 and 404,014.88

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Solution

The third proportional to 188,514.75 and 404,014.88 is: 865,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,514.75 : 404,014.88 = 404,014.88 : x
  2. Step 2: Convert to fraction form
    188,514.75/404,014.88 = 404,014.88/x
  3. Step 3: Cross multiply
    188,514.75x = 404,014.88 × 404,014.88
  4. Step 4: Simplify right side
    188,514.75x = 163,228,019,221.27
  5. Step 5: Solve for x
    x = 163,228,019,221.27/188,514.75
  6. Step 6: Final answer
    x = 865,863.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.