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Finding the Third Proportional to 159,626.50 and 232,419.75

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Solution

The third proportional to 159,626.50 and 232,419.75 is: 338,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,626.50 : 232,419.75 = 232,419.75 : x
  2. Step 2: Convert to fraction form
    159,626.50/232,419.75 = 232,419.75/x
  3. Step 3: Cross multiply
    159,626.50x = 232,419.75 × 232,419.75
  4. Step 4: Simplify right side
    159,626.50x = 54,018,940,190.06
  5. Step 5: Solve for x
    x = 54,018,940,190.06/159,626.50
  6. Step 6: Final answer
    x = 338,408.35

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.