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Finding the Third Proportional to 192,444.19 and 298,005.75

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Solution

The third proportional to 192,444.19 and 298,005.75 is: 461,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,444.19 : 298,005.75 = 298,005.75 : x
  2. Step 2: Convert to fraction form
    192,444.19/298,005.75 = 298,005.75/x
  3. Step 3: Cross multiply
    192,444.19x = 298,005.75 × 298,005.75
  4. Step 4: Simplify right side
    192,444.19x = 88,807,427,033.06
  5. Step 5: Solve for x
    x = 88,807,427,033.06/192,444.19
  6. Step 6: Final answer
    x = 461,471.08

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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.