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Finding the Third Proportional to 84,738 and 180,734

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Solution

The third proportional to 84,738 and 180,734 is: 385,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,738 : 180,734 = 180,734 : x
  2. Step 2: Convert to fraction form
    84,738/180,734 = 180,734/x
  3. Step 3: Cross multiply
    84,738x = 180,734 × 180,734
  4. Step 4: Simplify right side
    84,738x = 32,664,778,756
  5. Step 5: Solve for x
    x = 32,664,778,756/84,738
  6. Step 6: Final answer
    x = 385,479.70

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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.