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Finding the Third Proportional to 196,860.50 and 303,984.50

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Solution

The third proportional to 196,860.50 and 303,984.50 is: 469,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,860.50 : 303,984.50 = 303,984.50 : x
  2. Step 2: Convert to fraction form
    196,860.50/303,984.50 = 303,984.50/x
  3. Step 3: Cross multiply
    196,860.50x = 303,984.50 × 303,984.50
  4. Step 4: Simplify right side
    196,860.50x = 92,406,576,240.25
  5. Step 5: Solve for x
    x = 92,406,576,240.25/196,860.50
  6. Step 6: Final answer
    x = 469,401.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.