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Finding the Third Proportional to 192,273.75 and 420,805.13

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Solution

The third proportional to 192,273.75 and 420,805.13 is: 920,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,273.75 : 420,805.13 = 420,805.13 : x
  2. Step 2: Convert to fraction form
    192,273.75/420,805.13 = 420,805.13/x
  3. Step 3: Cross multiply
    192,273.75x = 420,805.13 × 420,805.13
  4. Step 4: Simplify right side
    192,273.75x = 177,076,953,226.27
  5. Step 5: Solve for x
    x = 177,076,953,226.27/192,273.75
  6. Step 6: Final answer
    x = 920,962.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.