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Finding the Third Proportional to 190,923 and 288,796.50

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Solution

The third proportional to 190,923 and 288,796.50 is: 436,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,923 : 288,796.50 = 288,796.50 : x
  2. Step 2: Convert to fraction form
    190,923/288,796.50 = 288,796.50/x
  3. Step 3: Cross multiply
    190,923x = 288,796.50 × 288,796.50
  4. Step 4: Simplify right side
    190,923x = 83,403,418,412.25
  5. Step 5: Solve for x
    x = 83,403,418,412.25/190,923
  6. Step 6: Final answer
    x = 436,843.22

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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.