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Finding the Third Proportional to 156,006 and 336,918

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Solution

The third proportional to 156,006 and 336,918 is: 727,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,006 : 336,918 = 336,918 : x
  2. Step 2: Convert to fraction form
    156,006/336,918 = 336,918/x
  3. Step 3: Cross multiply
    156,006x = 336,918 × 336,918
  4. Step 4: Simplify right side
    156,006x = 113,513,738,724
  5. Step 5: Solve for x
    x = 113,513,738,724/156,006
  6. Step 6: Final answer
    x = 727,624.19

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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.