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Finding the Third Proportional to 173,742 and 380,697

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Solution

The third proportional to 173,742 and 380,697 is: 834,169.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,742 : 380,697 = 380,697 : x
  2. Step 2: Convert to fraction form
    173,742/380,697 = 380,697/x
  3. Step 3: Cross multiply
    173,742x = 380,697 × 380,697
  4. Step 4: Simplify right side
    173,742x = 144,930,205,809
  5. Step 5: Solve for x
    x = 144,930,205,809/173,742
  6. Step 6: Final answer
    x = 834,169.09

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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.