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Finding the Third Proportional to 130,514.75 and 284,997.75

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Solution

The third proportional to 130,514.75 and 284,997.75 is: 622,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,514.75 : 284,997.75 = 284,997.75 : x
  2. Step 2: Convert to fraction form
    130,514.75/284,997.75 = 284,997.75/x
  3. Step 3: Cross multiply
    130,514.75x = 284,997.75 × 284,997.75
  4. Step 4: Simplify right side
    130,514.75x = 81,223,717,505.06
  5. Step 5: Solve for x
    x = 81,223,717,505.06/130,514.75
  6. Step 6: Final answer
    x = 622,333.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.