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Finding the Third Proportional to 192,657 and 306,825

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Solution

The third proportional to 192,657 and 306,825 is: 488,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,657 : 306,825 = 306,825 : x
  2. Step 2: Convert to fraction form
    192,657/306,825 = 306,825/x
  3. Step 3: Cross multiply
    192,657x = 306,825 × 306,825
  4. Step 4: Simplify right side
    192,657x = 94,141,580,625
  5. Step 5: Solve for x
    x = 94,141,580,625/192,657
  6. Step 6: Final answer
    x = 488,648.64

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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.