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Finding the Third Proportional to 140,859 and 211,349.25

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Solution

The third proportional to 140,859 and 211,349.25 is: 317,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,859 : 211,349.25 = 211,349.25 : x
  2. Step 2: Convert to fraction form
    140,859/211,349.25 = 211,349.25/x
  3. Step 3: Cross multiply
    140,859x = 211,349.25 × 211,349.25
  4. Step 4: Simplify right side
    140,859x = 44,668,505,475.56
  5. Step 5: Solve for x
    x = 44,668,505,475.56/140,859
  6. Step 6: Final answer
    x = 317,115.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.