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Finding the Third Proportional to 151,905 and 327,185

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Solution

The third proportional to 151,905 and 327,185 is: 704,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,905 : 327,185 = 327,185 : x
  2. Step 2: Convert to fraction form
    151,905/327,185 = 327,185/x
  3. Step 3: Cross multiply
    151,905x = 327,185 × 327,185
  4. Step 4: Simplify right side
    151,905x = 107,050,024,225
  5. Step 5: Solve for x
    x = 107,050,024,225/151,905
  6. Step 6: Final answer
    x = 704,716.92

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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.