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Finding the Third Proportional to 159,544 and 345,504

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Solution

The third proportional to 159,544 and 345,504 is: 748,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,544 : 345,504 = 345,504 : x
  2. Step 2: Convert to fraction form
    159,544/345,504 = 345,504/x
  3. Step 3: Cross multiply
    159,544x = 345,504 × 345,504
  4. Step 4: Simplify right side
    159,544x = 119,373,014,016
  5. Step 5: Solve for x
    x = 119,373,014,016/159,544
  6. Step 6: Final answer
    x = 748,213.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.