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Finding the Third Proportional to 146,133 and 220,164.75

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Solution

The third proportional to 146,133 and 220,164.75 is: 331,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,133 : 220,164.75 = 220,164.75 : x
  2. Step 2: Convert to fraction form
    146,133/220,164.75 = 220,164.75/x
  3. Step 3: Cross multiply
    146,133x = 220,164.75 × 220,164.75
  4. Step 4: Simplify right side
    146,133x = 48,472,517,142.56
  5. Step 5: Solve for x
    x = 48,472,517,142.56/146,133
  6. Step 6: Final answer
    x = 331,701.38

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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.