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Finding the Third Proportional to 231,093 and 349,783.31

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Solution

The third proportional to 231,093 and 349,783.31 is: 529,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,093 : 349,783.31 = 349,783.31 : x
  2. Step 2: Convert to fraction form
    231,093/349,783.31 = 349,783.31/x
  3. Step 3: Cross multiply
    231,093x = 349,783.31 × 349,783.31
  4. Step 4: Simplify right side
    231,093x = 122,348,365,703.47
  5. Step 5: Solve for x
    x = 122,348,365,703.47/231,093
  6. Step 6: Final answer
    x = 529,433.46

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