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Finding the Third Proportional to 140,581 and 303,305

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Solution

The third proportional to 140,581 and 303,305 is: 654,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,581 : 303,305 = 303,305 : x
  2. Step 2: Convert to fraction form
    140,581/303,305 = 303,305/x
  3. Step 3: Cross multiply
    140,581x = 303,305 × 303,305
  4. Step 4: Simplify right side
    140,581x = 91,993,923,025
  5. Step 5: Solve for x
    x = 91,993,923,025/140,581
  6. Step 6: Final answer
    x = 654,383.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.