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Finding the Third Proportional to 156,451.50 and 336,489.19

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Solution

The third proportional to 156,451.50 and 336,489.19 is: 723,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,451.50 : 336,489.19 = 336,489.19 : x
  2. Step 2: Convert to fraction form
    156,451.50/336,489.19 = 336,489.19/x
  3. Step 3: Cross multiply
    156,451.50x = 336,489.19 × 336,489.19
  4. Step 4: Simplify right side
    156,451.50x = 113,224,973,304.41
  5. Step 5: Solve for x
    x = 113,224,973,304.41/156,451.50
  6. Step 6: Final answer
    x = 723,706.54

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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.