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Finding the Third Proportional to 156,017 and 368,172

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Solution

The third proportional to 156,017 and 368,172 is: 868,819.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,017 : 368,172 = 368,172 : x
  2. Step 2: Convert to fraction form
    156,017/368,172 = 368,172/x
  3. Step 3: Cross multiply
    156,017x = 368,172 × 368,172
  4. Step 4: Simplify right side
    156,017x = 135,550,621,584
  5. Step 5: Solve for x
    x = 135,550,621,584/156,017
  6. Step 6: Final answer
    x = 868,819.56

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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.