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Finding the Third Proportional to 231,393 and 349,555

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Solution

The third proportional to 231,393 and 349,555 is: 528,057.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,393 : 349,555 = 349,555 : x
  2. Step 2: Convert to fraction form
    231,393/349,555 = 349,555/x
  3. Step 3: Cross multiply
    231,393x = 349,555 × 349,555
  4. Step 4: Simplify right side
    231,393x = 122,188,698,025
  5. Step 5: Solve for x
    x = 122,188,698,025/231,393
  6. Step 6: Final answer
    x = 528,057.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.