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Finding the Third Proportional to 190,212.75 and 442,306.13

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Solution

The third proportional to 190,212.75 and 442,306.13 is: 1,028,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,212.75 : 442,306.13 = 442,306.13 : x
  2. Step 2: Convert to fraction form
    190,212.75/442,306.13 = 442,306.13/x
  3. Step 3: Cross multiply
    190,212.75x = 442,306.13 × 442,306.13
  4. Step 4: Simplify right side
    190,212.75x = 195,634,708,212.52
  5. Step 5: Solve for x
    x = 195,634,708,212.52/190,212.75
  6. Step 6: Final answer
    x = 1,028,504.70

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.