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Finding the Third Proportional to 135,296 and 289,368

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Solution

The third proportional to 135,296 and 289,368 is: 618,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,296 : 289,368 = 289,368 : x
  2. Step 2: Convert to fraction form
    135,296/289,368 = 289,368/x
  3. Step 3: Cross multiply
    135,296x = 289,368 × 289,368
  4. Step 4: Simplify right side
    135,296x = 83,733,839,424
  5. Step 5: Solve for x
    x = 83,733,839,424/135,296
  6. Step 6: Final answer
    x = 618,893.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.