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Finding the Third Proportional to 150,034.50 and 212,291.50

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Solution

The third proportional to 150,034.50 and 212,291.50 is: 300,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,034.50 : 212,291.50 = 212,291.50 : x
  2. Step 2: Convert to fraction form
    150,034.50/212,291.50 = 212,291.50/x
  3. Step 3: Cross multiply
    150,034.50x = 212,291.50 × 212,291.50
  4. Step 4: Simplify right side
    150,034.50x = 45,067,680,972.25
  5. Step 5: Solve for x
    x = 45,067,680,972.25/150,034.50
  6. Step 6: Final answer
    x = 300,382.12

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.