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Finding the Third Proportional to 172,081.55 and 369,073.97

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Solution

The third proportional to 172,081.55 and 369,073.97 is: 791,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,081.55 : 369,073.97 = 369,073.97 : x
  2. Step 2: Convert to fraction form
    172,081.55/369,073.97 = 369,073.97/x
  3. Step 3: Cross multiply
    172,081.55x = 369,073.97 × 369,073.97
  4. Step 4: Simplify right side
    172,081.55x = 136,215,594,408.88
  5. Step 5: Solve for x
    x = 136,215,594,408.88/172,081.55
  6. Step 6: Final answer
    x = 791,575.84

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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.