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Finding the Third Proportional to 227,340 and 344,166

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Solution

The third proportional to 227,340 and 344,166 is: 521,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,340 : 344,166 = 344,166 : x
  2. Step 2: Convert to fraction form
    227,340/344,166 = 344,166/x
  3. Step 3: Cross multiply
    227,340x = 344,166 × 344,166
  4. Step 4: Simplify right side
    227,340x = 118,450,235,556
  5. Step 5: Solve for x
    x = 118,450,235,556/227,340
  6. Step 6: Final answer
    x = 521,026.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.