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Finding the Third Proportional to 234,003.94 and 334,398.38

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Solution

The third proportional to 234,003.94 and 334,398.38 is: 477,864.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,003.94 : 334,398.38 = 334,398.38 : x
  2. Step 2: Convert to fraction form
    234,003.94/334,398.38 = 334,398.38/x
  3. Step 3: Cross multiply
    234,003.94x = 334,398.38 × 334,398.38
  4. Step 4: Simplify right side
    234,003.94x = 111,822,273,202.64
  5. Step 5: Solve for x
    x = 111,822,273,202.64/234,003.94
  6. Step 6: Final answer
    x = 477,864.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.