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Finding the Third Proportional to 180,301 and 384,734

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Solution

The third proportional to 180,301 and 384,734 is: 820,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,301 : 384,734 = 384,734 : x
  2. Step 2: Convert to fraction form
    180,301/384,734 = 384,734/x
  3. Step 3: Cross multiply
    180,301x = 384,734 × 384,734
  4. Step 4: Simplify right side
    180,301x = 148,020,250,756
  5. Step 5: Solve for x
    x = 148,020,250,756/180,301
  6. Step 6: Final answer
    x = 820,961.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.