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Finding the Third Proportional to 151,925 and 327,223

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Solution

The third proportional to 151,925 and 327,223 is: 704,787.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,925 : 327,223 = 327,223 : x
  2. Step 2: Convert to fraction form
    151,925/327,223 = 327,223/x
  3. Step 3: Cross multiply
    151,925x = 327,223 × 327,223
  4. Step 4: Simplify right side
    151,925x = 107,074,891,729
  5. Step 5: Solve for x
    x = 107,074,891,729/151,925
  6. Step 6: Final answer
    x = 704,787.83

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Why These Related Problems?

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