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Finding the Third Proportional to 146,508 and 220,152

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Solution

The third proportional to 146,508 and 220,152 is: 330,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,508 : 220,152 = 220,152 : x
  2. Step 2: Convert to fraction form
    146,508/220,152 = 220,152/x
  3. Step 3: Cross multiply
    146,508x = 220,152 × 220,152
  4. Step 4: Simplify right side
    146,508x = 48,466,903,104
  5. Step 5: Solve for x
    x = 48,466,903,104/146,508
  6. Step 6: Final answer
    x = 330,814.04

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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.