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Finding the Third Proportional to 224,502.75 and 339,086.25

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Solution

The third proportional to 224,502.75 and 339,086.25 is: 512,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,502.75 : 339,086.25 = 339,086.25 : x
  2. Step 2: Convert to fraction form
    224,502.75/339,086.25 = 339,086.25/x
  3. Step 3: Cross multiply
    224,502.75x = 339,086.25 × 339,086.25
  4. Step 4: Simplify right side
    224,502.75x = 114,979,484,939.06
  5. Step 5: Solve for x
    x = 114,979,484,939.06/224,502.75
  6. Step 6: Final answer
    x = 512,151.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.