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Finding the Third Proportional to 146,123 and 220,764

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Solution

The third proportional to 146,123 and 220,764 is: 333,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,123 : 220,764 = 220,764 : x
  2. Step 2: Convert to fraction form
    146,123/220,764 = 220,764/x
  3. Step 3: Cross multiply
    146,123x = 220,764 × 220,764
  4. Step 4: Simplify right side
    146,123x = 48,736,743,696
  5. Step 5: Solve for x
    x = 48,736,743,696/146,123
  6. Step 6: Final answer
    x = 333,532.32

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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.