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Finding the Third Proportional to 141,293.25 and 212,256

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Solution

The third proportional to 141,293.25 and 212,256 is: 318,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,293.25 : 212,256 = 212,256 : x
  2. Step 2: Convert to fraction form
    141,293.25/212,256 = 212,256/x
  3. Step 3: Cross multiply
    141,293.25x = 212,256 × 212,256
  4. Step 4: Simplify right side
    141,293.25x = 45,052,609,536
  5. Step 5: Solve for x
    x = 45,052,609,536/141,293.25
  6. Step 6: Final answer
    x = 318,858.89

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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.