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Finding the Third Proportional to 193,279.50 and 272,180.25

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Solution

The third proportional to 193,279.50 and 272,180.25 is: 383,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,279.50 : 272,180.25 = 272,180.25 : x
  2. Step 2: Convert to fraction form
    193,279.50/272,180.25 = 272,180.25/x
  3. Step 3: Cross multiply
    193,279.50x = 272,180.25 × 272,180.25
  4. Step 4: Simplify right side
    193,279.50x = 74,082,088,490.06
  5. Step 5: Solve for x
    x = 74,082,088,490.06/193,279.50
  6. Step 6: Final answer
    x = 383,289.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.