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Finding the Third Proportional to 220,463.25 and 322,188

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Solution

The third proportional to 220,463.25 and 322,188 is: 470,849.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,463.25 : 322,188 = 322,188 : x
  2. Step 2: Convert to fraction form
    220,463.25/322,188 = 322,188/x
  3. Step 3: Cross multiply
    220,463.25x = 322,188 × 322,188
  4. Step 4: Simplify right side
    220,463.25x = 103,805,107,344
  5. Step 5: Solve for x
    x = 103,805,107,344/220,463.25
  6. Step 6: Final answer
    x = 470,849.94

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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.