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Finding the Third Proportional to 227,646 and 334,086

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Solution

The third proportional to 227,646 and 334,086 is: 490,293.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,646 : 334,086 = 334,086 : x
  2. Step 2: Convert to fraction form
    227,646/334,086 = 334,086/x
  3. Step 3: Cross multiply
    227,646x = 334,086 × 334,086
  4. Step 4: Simplify right side
    227,646x = 111,613,455,396
  5. Step 5: Solve for x
    x = 111,613,455,396/227,646
  6. Step 6: Final answer
    x = 490,293.94

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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.