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Finding the Third Proportional to 166,632 and 361,704

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Solution

The third proportional to 166,632 and 361,704 is: 785,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,632 : 361,704 = 361,704 : x
  2. Step 2: Convert to fraction form
    166,632/361,704 = 361,704/x
  3. Step 3: Cross multiply
    166,632x = 361,704 × 361,704
  4. Step 4: Simplify right side
    166,632x = 130,829,783,616
  5. Step 5: Solve for x
    x = 130,829,783,616/166,632
  6. Step 6: Final answer
    x = 785,142.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.