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Finding the Third Proportional to 188,514.75 and 404,013

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Solution

The third proportional to 188,514.75 and 404,013 is: 865,855.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,514.75 : 404,013 = 404,013 : x
  2. Step 2: Convert to fraction form
    188,514.75/404,013 = 404,013/x
  3. Step 3: Cross multiply
    188,514.75x = 404,013 × 404,013
  4. Step 4: Simplify right side
    188,514.75x = 163,226,504,169
  5. Step 5: Solve for x
    x = 163,226,504,169/188,514.75
  6. Step 6: Final answer
    x = 865,855.35

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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.