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Finding the Third Proportional to 159,906 and 234,675

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Solution

The third proportional to 159,906 and 234,675 is: 344,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,906 : 234,675 = 234,675 : x
  2. Step 2: Convert to fraction form
    159,906/234,675 = 234,675/x
  3. Step 3: Cross multiply
    159,906x = 234,675 × 234,675
  4. Step 4: Simplify right side
    159,906x = 55,072,355,625
  5. Step 5: Solve for x
    x = 55,072,355,625/159,906
  6. Step 6: Final answer
    x = 344,404.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.