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Finding the Third Proportional to 135,474 and 210,966

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Solution

The third proportional to 135,474 and 210,966 is: 328,525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,474 : 210,966 = 210,966 : x
  2. Step 2: Convert to fraction form
    135,474/210,966 = 210,966/x
  3. Step 3: Cross multiply
    135,474x = 210,966 × 210,966
  4. Step 4: Simplify right side
    135,474x = 44,506,653,156
  5. Step 5: Solve for x
    x = 44,506,653,156/135,474
  6. Step 6: Final answer
    x = 328,525.42

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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.