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Finding the Third Proportional to 192,840 and 298,551

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Solution

The third proportional to 192,840 and 298,551 is: 462,210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,840 : 298,551 = 298,551 : x
  2. Step 2: Convert to fraction form
    192,840/298,551 = 298,551/x
  3. Step 3: Cross multiply
    192,840x = 298,551 × 298,551
  4. Step 4: Simplify right side
    192,840x = 89,132,699,601
  5. Step 5: Solve for x
    x = 89,132,699,601/192,840
  6. Step 6: Final answer
    x = 462,210.64

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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.