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Finding the Third Proportional to 128,739.38 and 269,249.06

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Solution

The third proportional to 128,739.38 and 269,249.06 is: 563,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,739.38 : 269,249.06 = 269,249.06 : x
  2. Step 2: Convert to fraction form
    128,739.38/269,249.06 = 269,249.06/x
  3. Step 3: Cross multiply
    128,739.38x = 269,249.06 × 269,249.06
  4. Step 4: Simplify right side
    128,739.38x = 72,495,057,657.13
  5. Step 5: Solve for x
    x = 72,495,057,657.13/128,739.38
  6. Step 6: Final answer
    x = 563,114.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.