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Finding the Third Proportional to 159,956.50 and 370,302

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Solution

The third proportional to 159,956.50 and 370,302 is: 857,255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,956.50 : 370,302 = 370,302 : x
  2. Step 2: Convert to fraction form
    159,956.50/370,302 = 370,302/x
  3. Step 3: Cross multiply
    159,956.50x = 370,302 × 370,302
  4. Step 4: Simplify right side
    159,956.50x = 137,123,571,204
  5. Step 5: Solve for x
    x = 137,123,571,204/159,956.50
  6. Step 6: Final answer
    x = 857,255.39

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.