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Finding the Third Proportional to 192,088.50 and 277,512

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Solution

The third proportional to 192,088.50 and 277,512 is: 400,924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,088.50 : 277,512 = 277,512 : x
  2. Step 2: Convert to fraction form
    192,088.50/277,512 = 277,512/x
  3. Step 3: Cross multiply
    192,088.50x = 277,512 × 277,512
  4. Step 4: Simplify right side
    192,088.50x = 77,012,910,144
  5. Step 5: Solve for x
    x = 77,012,910,144/192,088.50
  6. Step 6: Final answer
    x = 400,924.11

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.