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Finding the Third Proportional to 157,544 and 345,704

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Solution

The third proportional to 157,544 and 345,704 is: 758,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,544 : 345,704 = 345,704 : x
  2. Step 2: Convert to fraction form
    157,544/345,704 = 345,704/x
  3. Step 3: Cross multiply
    157,544x = 345,704 × 345,704
  4. Step 4: Simplify right side
    157,544x = 119,511,255,616
  5. Step 5: Solve for x
    x = 119,511,255,616/157,544
  6. Step 6: Final answer
    x = 758,589.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.