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Finding the Third Proportional to 156,061 and 368,174

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Solution

The third proportional to 156,061 and 368,174 is: 868,584.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,061 : 368,174 = 368,174 : x
  2. Step 2: Convert to fraction form
    156,061/368,174 = 368,174/x
  3. Step 3: Cross multiply
    156,061x = 368,174 × 368,174
  4. Step 4: Simplify right side
    156,061x = 135,552,094,276
  5. Step 5: Solve for x
    x = 135,552,094,276/156,061
  6. Step 6: Final answer
    x = 868,584.04

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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.