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Finding the Third Proportional to 192,848 and 298,562

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Solution

The third proportional to 192,848 and 298,562 is: 462,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,848 : 298,562 = 298,562 : x
  2. Step 2: Convert to fraction form
    192,848/298,562 = 298,562/x
  3. Step 3: Cross multiply
    192,848x = 298,562 × 298,562
  4. Step 4: Simplify right side
    192,848x = 89,139,267,844
  5. Step 5: Solve for x
    x = 89,139,267,844/192,848
  6. Step 6: Final answer
    x = 462,225.52

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