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Finding the Third Proportional to 165,850.03 and 248,514.33

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Solution

The third proportional to 165,850.03 and 248,514.33 is: 372,380.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,850.03 : 248,514.33 = 248,514.33 : x
  2. Step 2: Convert to fraction form
    165,850.03/248,514.33 = 248,514.33/x
  3. Step 3: Cross multiply
    165,850.03x = 248,514.33 × 248,514.33
  4. Step 4: Simplify right side
    165,850.03x = 61,759,371,283.42
  5. Step 5: Solve for x
    x = 61,759,371,283.42/165,850.03
  6. Step 6: Final answer
    x = 372,380.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.