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Finding the Third Proportional to 146,796 and 220,524

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Solution

The third proportional to 146,796 and 220,524 is: 331,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,796 : 220,524 = 220,524 : x
  2. Step 2: Convert to fraction form
    146,796/220,524 = 220,524/x
  3. Step 3: Cross multiply
    146,796x = 220,524 × 220,524
  4. Step 4: Simplify right side
    146,796x = 48,630,834,576
  5. Step 5: Solve for x
    x = 48,630,834,576/146,796
  6. Step 6: Final answer
    x = 331,281.74

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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.