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Finding the Third Proportional to 146,349 and 220,677

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Solution

The third proportional to 146,349 and 220,677 is: 332,754.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,349 : 220,677 = 220,677 : x
  2. Step 2: Convert to fraction form
    146,349/220,677 = 220,677/x
  3. Step 3: Cross multiply
    146,349x = 220,677 × 220,677
  4. Step 4: Simplify right side
    146,349x = 48,698,338,329
  5. Step 5: Solve for x
    x = 48,698,338,329/146,349
  6. Step 6: Final answer
    x = 332,754.84

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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.