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Finding the Third Proportional to 227,650 and 334,092

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Solution

The third proportional to 227,650 and 334,092 is: 490,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,650 : 334,092 = 334,092 : x
  2. Step 2: Convert to fraction form
    227,650/334,092 = 334,092/x
  3. Step 3: Cross multiply
    227,650x = 334,092 × 334,092
  4. Step 4: Simplify right side
    227,650x = 111,617,464,464
  5. Step 5: Solve for x
    x = 111,617,464,464/227,650
  6. Step 6: Final answer
    x = 490,302.94

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