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Finding the Third Proportional to 84,772 and 180,500

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Solution

The third proportional to 84,772 and 180,500 is: 384,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,772 : 180,500 = 180,500 : x
  2. Step 2: Convert to fraction form
    84,772/180,500 = 180,500/x
  3. Step 3: Cross multiply
    84,772x = 180,500 × 180,500
  4. Step 4: Simplify right side
    84,772x = 32,580,250,000
  5. Step 5: Solve for x
    x = 32,580,250,000/84,772
  6. Step 6: Final answer
    x = 384,327.96

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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.