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Finding the Third Proportional to 151,914.38 and 327,380

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Solution

The third proportional to 151,914.38 and 327,380 is: 705,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,914.38 : 327,380 = 327,380 : x
  2. Step 2: Convert to fraction form
    151,914.38/327,380 = 327,380/x
  3. Step 3: Cross multiply
    151,914.38x = 327,380 × 327,380
  4. Step 4: Simplify right side
    151,914.38x = 107,177,664,400
  5. Step 5: Solve for x
    x = 107,177,664,400/151,914.38
  6. Step 6: Final answer
    x = 705,513.64

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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.