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Finding the Third Proportional to 151,584.75 and 220,704.75

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Solution

The third proportional to 151,584.75 and 220,704.75 is: 321,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,584.75 : 220,704.75 = 220,704.75 : x
  2. Step 2: Convert to fraction form
    151,584.75/220,704.75 = 220,704.75/x
  3. Step 3: Cross multiply
    151,584.75x = 220,704.75 × 220,704.75
  4. Step 4: Simplify right side
    151,584.75x = 48,710,586,672.56
  5. Step 5: Solve for x
    x = 48,710,586,672.56/151,584.75
  6. Step 6: Final answer
    x = 321,342.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.