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Finding the Third Proportional to 135,263.25 and 211,082.63

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Solution

The third proportional to 135,263.25 and 211,082.63 is: 329,401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,263.25 : 211,082.63 = 211,082.63 : x
  2. Step 2: Convert to fraction form
    135,263.25/211,082.63 = 211,082.63/x
  3. Step 3: Cross multiply
    135,263.25x = 211,082.63 × 211,082.63
  4. Step 4: Simplify right side
    135,263.25x = 44,555,874,576.89
  5. Step 5: Solve for x
    x = 44,555,874,576.89/135,263.25
  6. Step 6: Final answer
    x = 329,401.18

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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.