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Finding the Third Proportional to 156,001 and 336,908

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Solution

The third proportional to 156,001 and 336,908 is: 727,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,001 : 336,908 = 336,908 : x
  2. Step 2: Convert to fraction form
    156,001/336,908 = 336,908/x
  3. Step 3: Cross multiply
    156,001x = 336,908 × 336,908
  4. Step 4: Simplify right side
    156,001x = 113,507,000,464
  5. Step 5: Solve for x
    x = 113,507,000,464/156,001
  6. Step 6: Final answer
    x = 727,604.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.