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Finding the Third Proportional to 236,766 and 520,188

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Solution

The third proportional to 236,766 and 520,188 is: 1,142,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,766 : 520,188 = 520,188 : x
  2. Step 2: Convert to fraction form
    236,766/520,188 = 520,188/x
  3. Step 3: Cross multiply
    236,766x = 520,188 × 520,188
  4. Step 4: Simplify right side
    236,766x = 270,595,555,344
  5. Step 5: Solve for x
    x = 270,595,555,344/236,766
  6. Step 6: Final answer
    x = 1,142,881.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.