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Finding the Third Proportional to 152,022 and 228,945

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Solution

The third proportional to 152,022 and 228,945 is: 344,790.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,022 : 228,945 = 228,945 : x
  2. Step 2: Convert to fraction form
    152,022/228,945 = 228,945/x
  3. Step 3: Cross multiply
    152,022x = 228,945 × 228,945
  4. Step 4: Simplify right side
    152,022x = 52,415,813,025
  5. Step 5: Solve for x
    x = 52,415,813,025/152,022
  6. Step 6: Final answer
    x = 344,790.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.