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Finding the Third Proportional to 141,997.25 and 303,945.25

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Solution

The third proportional to 141,997.25 and 303,945.25 is: 650,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,997.25 : 303,945.25 = 303,945.25 : x
  2. Step 2: Convert to fraction form
    141,997.25/303,945.25 = 303,945.25/x
  3. Step 3: Cross multiply
    141,997.25x = 303,945.25 × 303,945.25
  4. Step 4: Simplify right side
    141,997.25x = 92,382,714,997.56
  5. Step 5: Solve for x
    x = 92,382,714,997.56/141,997.25
  6. Step 6: Final answer
    x = 650,595.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.