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Finding the Third Proportional to 159,984 and 345,626

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Solution

The third proportional to 159,984 and 345,626 is: 746,682.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,984 : 345,626 = 345,626 : x
  2. Step 2: Convert to fraction form
    159,984/345,626 = 345,626/x
  3. Step 3: Cross multiply
    159,984x = 345,626 × 345,626
  4. Step 4: Simplify right side
    159,984x = 119,457,331,876
  5. Step 5: Solve for x
    x = 119,457,331,876/159,984
  6. Step 6: Final answer
    x = 746,682.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.