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Finding the Third Proportional to 146,923.50 and 218,225.25

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Solution

The third proportional to 146,923.50 and 218,225.25 is: 324,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,923.50 : 218,225.25 = 218,225.25 : x
  2. Step 2: Convert to fraction form
    146,923.50/218,225.25 = 218,225.25/x
  3. Step 3: Cross multiply
    146,923.50x = 218,225.25 × 218,225.25
  4. Step 4: Simplify right side
    146,923.50x = 47,622,259,737.56
  5. Step 5: Solve for x
    x = 47,622,259,737.56/146,923.50
  6. Step 6: Final answer
    x = 324,129.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.