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Finding the Third Proportional to 234,008 and 334,399

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Solution

The third proportional to 234,008 and 334,399 is: 477,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,008 : 334,399 = 334,399 : x
  2. Step 2: Convert to fraction form
    234,008/334,399 = 334,399/x
  3. Step 3: Cross multiply
    234,008x = 334,399 × 334,399
  4. Step 4: Simplify right side
    234,008x = 111,822,691,201
  5. Step 5: Solve for x
    x = 111,822,691,201/234,008
  6. Step 6: Final answer
    x = 477,858.41

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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.