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Finding the Third Proportional to 179,845.50 and 393,954

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Solution

The third proportional to 179,845.50 and 393,954 is: 862,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,845.50 : 393,954 = 393,954 : x
  2. Step 2: Convert to fraction form
    179,845.50/393,954 = 393,954/x
  3. Step 3: Cross multiply
    179,845.50x = 393,954 × 393,954
  4. Step 4: Simplify right side
    179,845.50x = 155,199,754,116
  5. Step 5: Solve for x
    x = 155,199,754,116/179,845.50
  6. Step 6: Final answer
    x = 862,961.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.