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Finding the Third Proportional to 156,066 and 368,183

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Solution

The third proportional to 156,066 and 368,183 is: 868,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,066 : 368,183 = 368,183 : x
  2. Step 2: Convert to fraction form
    156,066/368,183 = 368,183/x
  3. Step 3: Cross multiply
    156,066x = 368,183 × 368,183
  4. Step 4: Simplify right side
    156,066x = 135,558,721,489
  5. Step 5: Solve for x
    x = 135,558,721,489/156,066
  6. Step 6: Final answer
    x = 868,598.68

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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.