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Finding the Third Proportional to 187,408.69 and 301,811.06

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Solution

The third proportional to 187,408.69 and 301,811.06 is: 486,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,408.69 : 301,811.06 = 301,811.06 : x
  2. Step 2: Convert to fraction form
    187,408.69/301,811.06 = 301,811.06/x
  3. Step 3: Cross multiply
    187,408.69x = 301,811.06 × 301,811.06
  4. Step 4: Simplify right side
    187,408.69x = 91,089,917,447.38
  5. Step 5: Solve for x
    x = 91,089,917,447.38/187,408.69
  6. Step 6: Final answer
    x = 486,049.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.