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Finding the Third Proportional to 227,677.50 and 334,134.75

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Solution

The third proportional to 227,677.50 and 334,134.75 is: 490,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,677.50 : 334,134.75 = 334,134.75 : x
  2. Step 2: Convert to fraction form
    227,677.50/334,134.75 = 334,134.75/x
  3. Step 3: Cross multiply
    227,677.50x = 334,134.75 × 334,134.75
  4. Step 4: Simplify right side
    227,677.50x = 111,646,031,157.56
  5. Step 5: Solve for x
    x = 111,646,031,157.56/227,677.50
  6. Step 6: Final answer
    x = 490,369.19

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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.