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Finding the Third Proportional to 157,793 and 327,231

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Solution

The third proportional to 157,793 and 327,231 is: 678,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,793 : 327,231 = 327,231 : x
  2. Step 2: Convert to fraction form
    157,793/327,231 = 327,231/x
  3. Step 3: Cross multiply
    157,793x = 327,231 × 327,231
  4. Step 4: Simplify right side
    157,793x = 107,080,127,361
  5. Step 5: Solve for x
    x = 107,080,127,361/157,793
  6. Step 6: Final answer
    x = 678,611.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.