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Finding the Third Proportional to 193,279.50 and 300,579.75

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Solution

The third proportional to 193,279.50 and 300,579.75 is: 467,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,279.50 : 300,579.75 = 300,579.75 : x
  2. Step 2: Convert to fraction form
    193,279.50/300,579.75 = 300,579.75/x
  3. Step 3: Cross multiply
    193,279.50x = 300,579.75 × 300,579.75
  4. Step 4: Simplify right side
    193,279.50x = 90,348,186,110.06
  5. Step 5: Solve for x
    x = 90,348,186,110.06/193,279.50
  6. Step 6: Final answer
    x = 467,448.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.