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Finding the Third Proportional to 135,245 and 207,431

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Solution

The third proportional to 135,245 and 207,431 is: 318,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,245 : 207,431 = 207,431 : x
  2. Step 2: Convert to fraction form
    135,245/207,431 = 207,431/x
  3. Step 3: Cross multiply
    135,245x = 207,431 × 207,431
  4. Step 4: Simplify right side
    135,245x = 43,027,619,761
  5. Step 5: Solve for x
    x = 43,027,619,761/135,245
  6. Step 6: Final answer
    x = 318,145.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.