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Finding the Third Proportional to 134,500 and 188,498

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Solution

The third proportional to 134,500 and 188,498 is: 264,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,500 : 188,498 = 188,498 : x
  2. Step 2: Convert to fraction form
    134,500/188,498 = 188,498/x
  3. Step 3: Cross multiply
    134,500x = 188,498 × 188,498
  4. Step 4: Simplify right side
    134,500x = 35,531,496,004
  5. Step 5: Solve for x
    x = 35,531,496,004/134,500
  6. Step 6: Final answer
    x = 264,174.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.