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Finding the Third Proportional to 227,653 and 334,096

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Solution

The third proportional to 227,653 and 334,096 is: 490,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,653 : 334,096 = 334,096 : x
  2. Step 2: Convert to fraction form
    227,653/334,096 = 334,096/x
  3. Step 3: Cross multiply
    227,653x = 334,096 × 334,096
  4. Step 4: Simplify right side
    227,653x = 111,620,137,216
  5. Step 5: Solve for x
    x = 111,620,137,216/227,653
  6. Step 6: Final answer
    x = 490,308.22

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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.