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Finding the Third Proportional to 156,048 and 335,796

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Solution

The third proportional to 156,048 and 335,796 is: 722,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,048 : 335,796 = 335,796 : x
  2. Step 2: Convert to fraction form
    156,048/335,796 = 335,796/x
  3. Step 3: Cross multiply
    156,048x = 335,796 × 335,796
  4. Step 4: Simplify right side
    156,048x = 112,758,953,616
  5. Step 5: Solve for x
    x = 112,758,953,616/156,048
  6. Step 6: Final answer
    x = 722,591.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.