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Finding the Third Proportional to 196,794.50 and 407,591.50

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Solution

The third proportional to 196,794.50 and 407,591.50 is: 844,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,794.50 : 407,591.50 = 407,591.50 : x
  2. Step 2: Convert to fraction form
    196,794.50/407,591.50 = 407,591.50/x
  3. Step 3: Cross multiply
    196,794.50x = 407,591.50 × 407,591.50
  4. Step 4: Simplify right side
    196,794.50x = 166,130,830,872.25
  5. Step 5: Solve for x
    x = 166,130,830,872.25/196,794.50
  6. Step 6: Final answer
    x = 844,184.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.