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Finding the Third Proportional to 135,519 and 201,318

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Solution

The third proportional to 135,519 and 201,318 is: 299,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,519 : 201,318 = 201,318 : x
  2. Step 2: Convert to fraction form
    135,519/201,318 = 201,318/x
  3. Step 3: Cross multiply
    135,519x = 201,318 × 201,318
  4. Step 4: Simplify right side
    135,519x = 40,528,937,124
  5. Step 5: Solve for x
    x = 40,528,937,124/135,519
  6. Step 6: Final answer
    x = 299,064.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.