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Finding the Third Proportional to 159,219.75 and 232,265.75

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Solution

The third proportional to 159,219.75 and 232,265.75 is: 338,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,219.75 : 232,265.75 = 232,265.75 : x
  2. Step 2: Convert to fraction form
    159,219.75/232,265.75 = 232,265.75/x
  3. Step 3: Cross multiply
    159,219.75x = 232,265.75 × 232,265.75
  4. Step 4: Simplify right side
    159,219.75x = 53,947,378,623.06
  5. Step 5: Solve for x
    x = 53,947,378,623.06/159,219.75
  6. Step 6: Final answer
    x = 338,823.41

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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.