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Finding the Third Proportional to 156,846 and 336,458

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Solution

The third proportional to 156,846 and 336,458 is: 721,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,846 : 336,458 = 336,458 : x
  2. Step 2: Convert to fraction form
    156,846/336,458 = 336,458/x
  3. Step 3: Cross multiply
    156,846x = 336,458 × 336,458
  4. Step 4: Simplify right side
    156,846x = 113,203,985,764
  5. Step 5: Solve for x
    x = 113,203,985,764/156,846
  6. Step 6: Final answer
    x = 721,752.46

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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.