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Finding the Third Proportional to 141,891.75 and 295,801.88

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Solution

The third proportional to 141,891.75 and 295,801.88 is: 616,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,891.75 : 295,801.88 = 295,801.88 : x
  2. Step 2: Convert to fraction form
    141,891.75/295,801.88 = 295,801.88/x
  3. Step 3: Cross multiply
    141,891.75x = 295,801.88 × 295,801.88
  4. Step 4: Simplify right side
    141,891.75x = 87,498,749,253.52
  5. Step 5: Solve for x
    x = 87,498,749,253.52/141,891.75
  6. Step 6: Final answer
    x = 616,658.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.