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Finding the Third Proportional to 156,742 and 336,108

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Solution

The third proportional to 156,742 and 336,108 is: 720,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,742 : 336,108 = 336,108 : x
  2. Step 2: Convert to fraction form
    156,742/336,108 = 336,108/x
  3. Step 3: Cross multiply
    156,742x = 336,108 × 336,108
  4. Step 4: Simplify right side
    156,742x = 112,968,587,664
  5. Step 5: Solve for x
    x = 112,968,587,664/156,742
  6. Step 6: Final answer
    x = 720,729.53

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