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Finding the Third Proportional to 224,178.75 and 333,092.25

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Solution

The third proportional to 224,178.75 and 333,092.25 is: 494,919.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,178.75 : 333,092.25 = 333,092.25 : x
  2. Step 2: Convert to fraction form
    224,178.75/333,092.25 = 333,092.25/x
  3. Step 3: Cross multiply
    224,178.75x = 333,092.25 × 333,092.25
  4. Step 4: Simplify right side
    224,178.75x = 110,950,447,010.06
  5. Step 5: Solve for x
    x = 110,950,447,010.06/224,178.75
  6. Step 6: Final answer
    x = 494,919.55

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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.