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Finding the Third Proportional to 135,340 and 192,354

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Solution

The third proportional to 135,340 and 192,354 is: 273,386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,340 : 192,354 = 192,354 : x
  2. Step 2: Convert to fraction form
    135,340/192,354 = 192,354/x
  3. Step 3: Cross multiply
    135,340x = 192,354 × 192,354
  4. Step 4: Simplify right side
    135,340x = 37,000,061,316
  5. Step 5: Solve for x
    x = 37,000,061,316/135,340
  6. Step 6: Final answer
    x = 273,386.00

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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.