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Finding the Third Proportional to 158,226 and 347,564

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Solution

The third proportional to 158,226 and 347,564 is: 763,469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,226 : 347,564 = 347,564 : x
  2. Step 2: Convert to fraction form
    158,226/347,564 = 347,564/x
  3. Step 3: Cross multiply
    158,226x = 347,564 × 347,564
  4. Step 4: Simplify right side
    158,226x = 120,800,734,096
  5. Step 5: Solve for x
    x = 120,800,734,096/158,226
  6. Step 6: Final answer
    x = 763,469.56

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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.