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Finding the Third Proportional to 146,624 and 326,944

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Solution

The third proportional to 146,624 and 326,944 is: 729,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,624 : 326,944 = 326,944 : x
  2. Step 2: Convert to fraction form
    146,624/326,944 = 326,944/x
  3. Step 3: Cross multiply
    146,624x = 326,944 × 326,944
  4. Step 4: Simplify right side
    146,624x = 106,892,379,136
  5. Step 5: Solve for x
    x = 106,892,379,136/146,624
  6. Step 6: Final answer
    x = 729,023.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.