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Finding the Third Proportional to 192,836 and 298,545

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Solution

The third proportional to 192,836 and 298,545 is: 462,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,836 : 298,545 = 298,545 : x
  2. Step 2: Convert to fraction form
    192,836/298,545 = 298,545/x
  3. Step 3: Cross multiply
    192,836x = 298,545 × 298,545
  4. Step 4: Simplify right side
    192,836x = 89,129,117,025
  5. Step 5: Solve for x
    x = 89,129,117,025/192,836
  6. Step 6: Final answer
    x = 462,201.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.