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Finding the Third Proportional to 157,736 and 341,704

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Solution

The third proportional to 157,736 and 341,704 is: 740,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,736 : 341,704 = 341,704 : x
  2. Step 2: Convert to fraction form
    157,736/341,704 = 341,704/x
  3. Step 3: Cross multiply
    157,736x = 341,704 × 341,704
  4. Step 4: Simplify right side
    157,736x = 116,761,623,616
  5. Step 5: Solve for x
    x = 116,761,623,616/157,736
  6. Step 6: Final answer
    x = 740,234.47

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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.