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Finding the Third Proportional to 171,169.25 and 369,403.75

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Solution

The third proportional to 171,169.25 and 369,403.75 is: 797,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,169.25 : 369,403.75 = 369,403.75 : x
  2. Step 2: Convert to fraction form
    171,169.25/369,403.75 = 369,403.75/x
  3. Step 3: Cross multiply
    171,169.25x = 369,403.75 × 369,403.75
  4. Step 4: Simplify right side
    171,169.25x = 136,459,130,514.06
  5. Step 5: Solve for x
    x = 136,459,130,514.06/171,169.25
  6. Step 6: Final answer
    x = 797,217.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.