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Finding the Third Proportional to 173,871 and 366,734

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Solution

The third proportional to 173,871 and 366,734 is: 773,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,871 : 366,734 = 366,734 : x
  2. Step 2: Convert to fraction form
    173,871/366,734 = 366,734/x
  3. Step 3: Cross multiply
    173,871x = 366,734 × 366,734
  4. Step 4: Simplify right side
    173,871x = 134,493,826,756
  5. Step 5: Solve for x
    x = 134,493,826,756/173,871
  6. Step 6: Final answer
    x = 773,526.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.