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Finding the Third Proportional to 334,098.42 and 368,236.13

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Solution

The third proportional to 334,098.42 and 368,236.13 is: 405,861.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,098.42 : 368,236.13 = 368,236.13 : x
  2. Step 2: Convert to fraction form
    334,098.42/368,236.13 = 368,236.13/x
  3. Step 3: Cross multiply
    334,098.42x = 368,236.13 × 368,236.13
  4. Step 4: Simplify right side
    334,098.42x = 135,597,843,755.02
  5. Step 5: Solve for x
    x = 135,597,843,755.02/334,098.42
  6. Step 6: Final answer
    x = 405,861.97

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.