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Finding the Third Proportional to 151,424.25 and 220,563.75

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Solution

The third proportional to 151,424.25 and 220,563.75 is: 321,271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,424.25 : 220,563.75 = 220,563.75 : x
  2. Step 2: Convert to fraction form
    151,424.25/220,563.75 = 220,563.75/x
  3. Step 3: Cross multiply
    151,424.25x = 220,563.75 × 220,563.75
  4. Step 4: Simplify right side
    151,424.25x = 48,648,367,814.06
  5. Step 5: Solve for x
    x = 48,648,367,814.06/151,424.25
  6. Step 6: Final answer
    x = 321,271.97

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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.