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Finding the Third Proportional to 192,641 and 306,800

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Solution

The third proportional to 192,641 and 306,800 is: 488,609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,641 : 306,800 = 306,800 : x
  2. Step 2: Convert to fraction form
    192,641/306,800 = 306,800/x
  3. Step 3: Cross multiply
    192,641x = 306,800 × 306,800
  4. Step 4: Simplify right side
    192,641x = 94,126,240,000
  5. Step 5: Solve for x
    x = 94,126,240,000/192,641
  6. Step 6: Final answer
    x = 488,609.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.