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Finding the Third Proportional to 146,942 and 331,310

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Solution

The third proportional to 146,942 and 331,310 is: 747,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,942 : 331,310 = 331,310 : x
  2. Step 2: Convert to fraction form
    146,942/331,310 = 331,310/x
  3. Step 3: Cross multiply
    146,942x = 331,310 × 331,310
  4. Step 4: Simplify right side
    146,942x = 109,766,316,100
  5. Step 5: Solve for x
    x = 109,766,316,100/146,942
  6. Step 6: Final answer
    x = 747,004.37

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.