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Finding the Third Proportional to 190,686 and 258,975

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Solution

The third proportional to 190,686 and 258,975 is: 351,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,686 : 258,975 = 258,975 : x
  2. Step 2: Convert to fraction form
    190,686/258,975 = 258,975/x
  3. Step 3: Cross multiply
    190,686x = 258,975 × 258,975
  4. Step 4: Simplify right side
    190,686x = 67,068,050,625
  5. Step 5: Solve for x
    x = 67,068,050,625/190,686
  6. Step 6: Final answer
    x = 351,719.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.