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Finding the Third Proportional to 192,321 and 298,562.63

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Solution

The third proportional to 192,321 and 298,562.63 is: 463,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,321 : 298,562.63 = 298,562.63 : x
  2. Step 2: Convert to fraction form
    192,321/298,562.63 = 298,562.63/x
  3. Step 3: Cross multiply
    192,321x = 298,562.63 × 298,562.63
  4. Step 4: Simplify right side
    192,321x = 89,139,641,046.89
  5. Step 5: Solve for x
    x = 89,139,641,046.89/192,321
  6. Step 6: Final answer
    x = 463,494.06

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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.