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Finding the Third Proportional to 192,645.50 and 306,805

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Solution

The third proportional to 192,645.50 and 306,805 is: 488,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,645.50 : 306,805 = 306,805 : x
  2. Step 2: Convert to fraction form
    192,645.50/306,805 = 306,805/x
  3. Step 3: Cross multiply
    192,645.50x = 306,805 × 306,805
  4. Step 4: Simplify right side
    192,645.50x = 94,129,308,025
  5. Step 5: Solve for x
    x = 94,129,308,025/192,645.50
  6. Step 6: Final answer
    x = 488,614.10

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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.