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Finding the Third Proportional to 140,175 and 217,410.75

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Solution

The third proportional to 140,175 and 217,410.75 is: 337,203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,175 : 217,410.75 = 217,410.75 : x
  2. Step 2: Convert to fraction form
    140,175/217,410.75 = 217,410.75/x
  3. Step 3: Cross multiply
    140,175x = 217,410.75 × 217,410.75
  4. Step 4: Simplify right side
    140,175x = 47,267,434,215.56
  5. Step 5: Solve for x
    x = 47,267,434,215.56/140,175
  6. Step 6: Final answer
    x = 337,203.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.