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Finding the Third Proportional to 185,788.69 and 279,100.69

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Solution

The third proportional to 185,788.69 and 279,100.69 is: 419,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,788.69 : 279,100.69 = 279,100.69 : x
  2. Step 2: Convert to fraction form
    185,788.69/279,100.69 = 279,100.69/x
  3. Step 3: Cross multiply
    185,788.69x = 279,100.69 × 279,100.69
  4. Step 4: Simplify right side
    185,788.69x = 77,897,193,762.97
  5. Step 5: Solve for x
    x = 77,897,193,762.97/185,788.69
  6. Step 6: Final answer
    x = 419,278.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.