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Finding the Third Proportional to 141,297.75 and 212,262.75

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Solution

The third proportional to 141,297.75 and 212,262.75 is: 318,869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,297.75 : 212,262.75 = 212,262.75 : x
  2. Step 2: Convert to fraction form
    141,297.75/212,262.75 = 212,262.75/x
  3. Step 3: Cross multiply
    141,297.75x = 212,262.75 × 212,262.75
  4. Step 4: Simplify right side
    141,297.75x = 45,055,475,037.56
  5. Step 5: Solve for x
    x = 45,055,475,037.56/141,297.75
  6. Step 6: Final answer
    x = 318,869.02

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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.