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Finding the Third Proportional to 156,006 and 368,145

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Solution

The third proportional to 156,006 and 368,145 is: 868,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,006 : 368,145 = 368,145 : x
  2. Step 2: Convert to fraction form
    156,006/368,145 = 368,145/x
  3. Step 3: Cross multiply
    156,006x = 368,145 × 368,145
  4. Step 4: Simplify right side
    156,006x = 135,530,741,025
  5. Step 5: Solve for x
    x = 135,530,741,025/156,006
  6. Step 6: Final answer
    x = 868,753.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.