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Finding the Third Proportional to 141,813 and 215,667

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Solution

The third proportional to 141,813 and 215,667 is: 327,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,813 : 215,667 = 215,667 : x
  2. Step 2: Convert to fraction form
    141,813/215,667 = 215,667/x
  3. Step 3: Cross multiply
    141,813x = 215,667 × 215,667
  4. Step 4: Simplify right side
    141,813x = 46,512,254,889
  5. Step 5: Solve for x
    x = 46,512,254,889/141,813
  6. Step 6: Final answer
    x = 327,983.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.