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Finding the Third Proportional to 146,062 and 220,673

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Solution

The third proportional to 146,062 and 220,673 is: 333,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,062 : 220,673 = 220,673 : x
  2. Step 2: Convert to fraction form
    146,062/220,673 = 220,673/x
  3. Step 3: Cross multiply
    146,062x = 220,673 × 220,673
  4. Step 4: Simplify right side
    146,062x = 48,696,572,929
  5. Step 5: Solve for x
    x = 48,696,572,929/146,062
  6. Step 6: Final answer
    x = 333,396.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.