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Finding the Third Proportional to 190,843.88 and 286,698.38

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Solution

The third proportional to 190,843.88 and 286,698.38 is: 430,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,843.88 : 286,698.38 = 286,698.38 : x
  2. Step 2: Convert to fraction form
    190,843.88/286,698.38 = 286,698.38/x
  3. Step 3: Cross multiply
    190,843.88x = 286,698.38 × 286,698.38
  4. Step 4: Simplify right side
    190,843.88x = 82,195,958,227.64
  5. Step 5: Solve for x
    x = 82,195,958,227.64/190,843.88
  6. Step 6: Final answer
    x = 430,697.39

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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.