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Finding the Third Proportional to 193,025.53 and 295,279.17

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Solution

The third proportional to 193,025.53 and 295,279.17 is: 451,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,025.53 : 295,279.17 = 295,279.17 : x
  2. Step 2: Convert to fraction form
    193,025.53/295,279.17 = 295,279.17/x
  3. Step 3: Cross multiply
    193,025.53x = 295,279.17 × 295,279.17
  4. Step 4: Simplify right side
    193,025.53x = 87,189,789,343.19
  5. Step 5: Solve for x
    x = 87,189,789,343.19/193,025.53
  6. Step 6: Final answer
    x = 451,700.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.