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Finding the Third Proportional to 234,808 and 353,324

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Solution

The third proportional to 234,808 and 353,324 is: 531,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,808 : 353,324 = 353,324 : x
  2. Step 2: Convert to fraction form
    234,808/353,324 = 353,324/x
  3. Step 3: Cross multiply
    234,808x = 353,324 × 353,324
  4. Step 4: Simplify right side
    234,808x = 124,837,848,976
  5. Step 5: Solve for x
    x = 124,837,848,976/234,808
  6. Step 6: Final answer
    x = 531,659.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.