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Finding the Third Proportional to 146,583 and 219,777

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Solution

The third proportional to 146,583 and 219,777 is: 329,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,583 : 219,777 = 219,777 : x
  2. Step 2: Convert to fraction form
    146,583/219,777 = 219,777/x
  3. Step 3: Cross multiply
    146,583x = 219,777 × 219,777
  4. Step 4: Simplify right side
    146,583x = 48,301,929,729
  5. Step 5: Solve for x
    x = 48,301,929,729/146,583
  6. Step 6: Final answer
    x = 329,519.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.