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Finding the Third Proportional to 135,316 and 192,328

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Solution

The third proportional to 135,316 and 192,328 is: 273,360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,316 : 192,328 = 192,328 : x
  2. Step 2: Convert to fraction form
    135,316/192,328 = 192,328/x
  3. Step 3: Cross multiply
    135,316x = 192,328 × 192,328
  4. Step 4: Simplify right side
    135,316x = 36,990,059,584
  5. Step 5: Solve for x
    x = 36,990,059,584/135,316
  6. Step 6: Final answer
    x = 273,360.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.