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Finding the Third Proportional to 226,035 and 309,939.75

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Solution

The third proportional to 226,035 and 309,939.75 is: 424,990.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,035 : 309,939.75 = 309,939.75 : x
  2. Step 2: Convert to fraction form
    226,035/309,939.75 = 309,939.75/x
  3. Step 3: Cross multiply
    226,035x = 309,939.75 × 309,939.75
  4. Step 4: Simplify right side
    226,035x = 96,062,648,630.06
  5. Step 5: Solve for x
    x = 96,062,648,630.06/226,035
  6. Step 6: Final answer
    x = 424,990.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.