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Finding the Third Proportional to 171,297.75 and 368,841.75

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Solution

The third proportional to 171,297.75 and 368,841.75 is: 794,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,297.75 : 368,841.75 = 368,841.75 : x
  2. Step 2: Convert to fraction form
    171,297.75/368,841.75 = 368,841.75/x
  3. Step 3: Cross multiply
    171,297.75x = 368,841.75 × 368,841.75
  4. Step 4: Simplify right side
    171,297.75x = 136,044,236,543.06
  5. Step 5: Solve for x
    x = 136,044,236,543.06/171,297.75
  6. Step 6: Final answer
    x = 794,197.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.