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Finding the Third Proportional to 176,704 and 368,311

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Solution

The third proportional to 176,704 and 368,311 is: 767,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,704 : 368,311 = 368,311 : x
  2. Step 2: Convert to fraction form
    176,704/368,311 = 368,311/x
  3. Step 3: Cross multiply
    176,704x = 368,311 × 368,311
  4. Step 4: Simplify right side
    176,704x = 135,652,992,721
  5. Step 5: Solve for x
    x = 135,652,992,721/176,704
  6. Step 6: Final answer
    x = 767,684.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.