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Finding the Third Proportional to 202,984.50 and 283,783.50

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Solution

The third proportional to 202,984.50 and 283,783.50 is: 396,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,984.50 : 283,783.50 = 283,783.50 : x
  2. Step 2: Convert to fraction form
    202,984.50/283,783.50 = 283,783.50/x
  3. Step 3: Cross multiply
    202,984.50x = 283,783.50 × 283,783.50
  4. Step 4: Simplify right side
    202,984.50x = 80,533,074,872.25
  5. Step 5: Solve for x
    x = 80,533,074,872.25/202,984.50
  6. Step 6: Final answer
    x = 396,744.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.