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Finding the Third Proportional to 234,342 and 349,979

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Solution

The third proportional to 234,342 and 349,979 is: 522,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,342 : 349,979 = 349,979 : x
  2. Step 2: Convert to fraction form
    234,342/349,979 = 349,979/x
  3. Step 3: Cross multiply
    234,342x = 349,979 × 349,979
  4. Step 4: Simplify right side
    234,342x = 122,485,300,441
  5. Step 5: Solve for x
    x = 122,485,300,441/234,342
  6. Step 6: Final answer
    x = 522,677.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.