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Finding the Third Proportional to 227,654 and 334,098

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Solution

The third proportional to 227,654 and 334,098 is: 490,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,654 : 334,098 = 334,098 : x
  2. Step 2: Convert to fraction form
    227,654/334,098 = 334,098/x
  3. Step 3: Cross multiply
    227,654x = 334,098 × 334,098
  4. Step 4: Simplify right side
    227,654x = 111,621,473,604
  5. Step 5: Solve for x
    x = 111,621,473,604/227,654
  6. Step 6: Final answer
    x = 490,311.94

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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.