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Finding the Third Proportional to 183,984.50 and 379,723.50

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Solution

The third proportional to 183,984.50 and 379,723.50 is: 783,706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,984.50 : 379,723.50 = 379,723.50 : x
  2. Step 2: Convert to fraction form
    183,984.50/379,723.50 = 379,723.50/x
  3. Step 3: Cross multiply
    183,984.50x = 379,723.50 × 379,723.50
  4. Step 4: Simplify right side
    183,984.50x = 144,189,936,452.25
  5. Step 5: Solve for x
    x = 144,189,936,452.25/183,984.50
  6. Step 6: Final answer
    x = 783,706.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.