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Finding the Third Proportional to 156,059 and 368,169

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Solution

The third proportional to 156,059 and 368,169 is: 868,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,059 : 368,169 = 368,169 : x
  2. Step 2: Convert to fraction form
    156,059/368,169 = 368,169/x
  3. Step 3: Cross multiply
    156,059x = 368,169 × 368,169
  4. Step 4: Simplify right side
    156,059x = 135,548,412,561
  5. Step 5: Solve for x
    x = 135,548,412,561/156,059
  6. Step 6: Final answer
    x = 868,571.58

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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.