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Finding the Third Proportional to 156,774 and 336,012

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Solution

The third proportional to 156,774 and 336,012 is: 720,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,774 : 336,012 = 336,012 : x
  2. Step 2: Convert to fraction form
    156,774/336,012 = 336,012/x
  3. Step 3: Cross multiply
    156,774x = 336,012 × 336,012
  4. Step 4: Simplify right side
    156,774x = 112,904,064,144
  5. Step 5: Solve for x
    x = 112,904,064,144/156,774
  6. Step 6: Final answer
    x = 720,170.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.