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Finding the Third Proportional to 231,331 and 349,925

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Solution

The third proportional to 231,331 and 349,925 is: 529,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,331 : 349,925 = 349,925 : x
  2. Step 2: Convert to fraction form
    231,331/349,925 = 349,925/x
  3. Step 3: Cross multiply
    231,331x = 349,925 × 349,925
  4. Step 4: Simplify right side
    231,331x = 122,447,505,625
  5. Step 5: Solve for x
    x = 122,447,505,625/231,331
  6. Step 6: Final answer
    x = 529,317.32

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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.