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Finding the Third Proportional to 192,864 and 298,602

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Solution

The third proportional to 192,864 and 298,602 is: 462,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,864 : 298,602 = 298,602 : x
  2. Step 2: Convert to fraction form
    192,864/298,602 = 298,602/x
  3. Step 3: Cross multiply
    192,864x = 298,602 × 298,602
  4. Step 4: Simplify right side
    192,864x = 89,163,154,404
  5. Step 5: Solve for x
    x = 89,163,154,404/192,864
  6. Step 6: Final answer
    x = 462,311.03

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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.