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Finding the Third Proportional to 157,755 and 344,622

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Solution

The third proportional to 157,755 and 344,622 is: 752,840.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,755 : 344,622 = 344,622 : x
  2. Step 2: Convert to fraction form
    157,755/344,622 = 344,622/x
  3. Step 3: Cross multiply
    157,755x = 344,622 × 344,622
  4. Step 4: Simplify right side
    157,755x = 118,764,322,884
  5. Step 5: Solve for x
    x = 118,764,322,884/157,755
  6. Step 6: Final answer
    x = 752,840.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.