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Finding the Third Proportional to 227,570.13 and 327,800.36

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Solution

The third proportional to 227,570.13 and 327,800.36 is: 472,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,570.13 : 327,800.36 = 327,800.36 : x
  2. Step 2: Convert to fraction form
    227,570.13/327,800.36 = 327,800.36/x
  3. Step 3: Cross multiply
    227,570.13x = 327,800.36 × 327,800.36
  4. Step 4: Simplify right side
    227,570.13x = 107,453,073,045.44
  5. Step 5: Solve for x
    x = 107,453,073,045.44/227,570.13
  6. Step 6: Final answer
    x = 472,175.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.