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Finding the Third Proportional to 232,247 and 510,166

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Solution

The third proportional to 232,247 and 510,166 is: 1,120,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,247 : 510,166 = 510,166 : x
  2. Step 2: Convert to fraction form
    232,247/510,166 = 510,166/x
  3. Step 3: Cross multiply
    232,247x = 510,166 × 510,166
  4. Step 4: Simplify right side
    232,247x = 260,269,347,556
  5. Step 5: Solve for x
    x = 260,269,347,556/232,247
  6. Step 6: Final answer
    x = 1,120,657.52

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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.