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Finding the Third Proportional to 173,733 and 380,682

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Solution

The third proportional to 173,733 and 380,682 is: 834,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,733 : 380,682 = 380,682 : x
  2. Step 2: Convert to fraction form
    173,733/380,682 = 380,682/x
  3. Step 3: Cross multiply
    173,733x = 380,682 × 380,682
  4. Step 4: Simplify right side
    173,733x = 144,918,785,124
  5. Step 5: Solve for x
    x = 144,918,785,124/173,733
  6. Step 6: Final answer
    x = 834,146.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.