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Finding the Third Proportional to 135,250.59 and 211,064.34

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Solution

The third proportional to 135,250.59 and 211,064.34 is: 329,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,250.59 : 211,064.34 = 211,064.34 : x
  2. Step 2: Convert to fraction form
    135,250.59/211,064.34 = 211,064.34/x
  3. Step 3: Cross multiply
    135,250.59x = 211,064.34 × 211,064.34
  4. Step 4: Simplify right side
    135,250.59x = 44,548,157,202.62
  5. Step 5: Solve for x
    x = 44,548,157,202.62/135,250.59
  6. Step 6: Final answer
    x = 329,374.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.