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Finding the Third Proportional to 152,383.50 and 328,093

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Solution

The third proportional to 152,383.50 and 328,093 is: 706,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,383.50 : 328,093 = 328,093 : x
  2. Step 2: Convert to fraction form
    152,383.50/328,093 = 328,093/x
  3. Step 3: Cross multiply
    152,383.50x = 328,093 × 328,093
  4. Step 4: Simplify right side
    152,383.50x = 107,645,016,649
  5. Step 5: Solve for x
    x = 107,645,016,649/152,383.50
  6. Step 6: Final answer
    x = 706,408.61

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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.