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Finding the Third Proportional to 227,704.50 and 334,171.13

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Solution

The third proportional to 227,704.50 and 334,171.13 is: 490,417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,704.50 : 334,171.13 = 334,171.13 : x
  2. Step 2: Convert to fraction form
    227,704.50/334,171.13 = 334,171.13/x
  3. Step 3: Cross multiply
    227,704.50x = 334,171.13 × 334,171.13
  4. Step 4: Simplify right side
    227,704.50x = 111,670,340,783.77
  5. Step 5: Solve for x
    x = 111,670,340,783.77/227,704.50
  6. Step 6: Final answer
    x = 490,417.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.