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Finding the Third Proportional to 141,990 and 215,577

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Solution

The third proportional to 141,990 and 215,577 is: 327,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,990 : 215,577 = 215,577 : x
  2. Step 2: Convert to fraction form
    141,990/215,577 = 215,577/x
  3. Step 3: Cross multiply
    141,990x = 215,577 × 215,577
  4. Step 4: Simplify right side
    141,990x = 46,473,442,929
  5. Step 5: Solve for x
    x = 46,473,442,929/141,990
  6. Step 6: Final answer
    x = 327,300.82

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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.