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Finding the Third Proportional to 190,642.50 and 376,498.50

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Solution

The third proportional to 190,642.50 and 376,498.50 is: 743,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,642.50 : 376,498.50 = 376,498.50 : x
  2. Step 2: Convert to fraction form
    190,642.50/376,498.50 = 376,498.50/x
  3. Step 3: Cross multiply
    190,642.50x = 376,498.50 × 376,498.50
  4. Step 4: Simplify right side
    190,642.50x = 141,751,120,502.25
  5. Step 5: Solve for x
    x = 141,751,120,502.25/190,642.50
  6. Step 6: Final answer
    x = 743,544.18

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.