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Finding the Third Proportional to 141,992 and 215,580

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Solution

The third proportional to 141,992 and 215,580 is: 327,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,992 : 215,580 = 215,580 : x
  2. Step 2: Convert to fraction form
    141,992/215,580 = 215,580/x
  3. Step 3: Cross multiply
    141,992x = 215,580 × 215,580
  4. Step 4: Simplify right side
    141,992x = 46,474,736,400
  5. Step 5: Solve for x
    x = 46,474,736,400/141,992
  6. Step 6: Final answer
    x = 327,305.32

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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.