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Finding the Third Proportional to 135,498 and 201,288

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Solution

The third proportional to 135,498 and 201,288 is: 299,021.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,498 : 201,288 = 201,288 : x
  2. Step 2: Convert to fraction form
    135,498/201,288 = 201,288/x
  3. Step 3: Cross multiply
    135,498x = 201,288 × 201,288
  4. Step 4: Simplify right side
    135,498x = 40,516,858,944
  5. Step 5: Solve for x
    x = 40,516,858,944/135,498
  6. Step 6: Final answer
    x = 299,021.82

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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.