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Finding the Third Proportional to 80,764 and 188,650

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Solution

The third proportional to 80,764 and 188,650 is: 440,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,764 : 188,650 = 188,650 : x
  2. Step 2: Convert to fraction form
    80,764/188,650 = 188,650/x
  3. Step 3: Cross multiply
    80,764x = 188,650 × 188,650
  4. Step 4: Simplify right side
    80,764x = 35,588,822,500
  5. Step 5: Solve for x
    x = 35,588,822,500/80,764
  6. Step 6: Final answer
    x = 440,652.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.