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Finding the Third Proportional to 179,092 and 251,044

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Solution

The third proportional to 179,092 and 251,044 is: 351,903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,092 : 251,044 = 251,044 : x
  2. Step 2: Convert to fraction form
    179,092/251,044 = 251,044/x
  3. Step 3: Cross multiply
    179,092x = 251,044 × 251,044
  4. Step 4: Simplify right side
    179,092x = 63,023,089,936
  5. Step 5: Solve for x
    x = 63,023,089,936/179,092
  6. Step 6: Final answer
    x = 351,903.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.