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Finding the Third Proportional to 76,576.50 and 168,255

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Solution

The third proportional to 76,576.50 and 168,255 is: 369,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,576.50 : 168,255 = 168,255 : x
  2. Step 2: Convert to fraction form
    76,576.50/168,255 = 168,255/x
  3. Step 3: Cross multiply
    76,576.50x = 168,255 × 168,255
  4. Step 4: Simplify right side
    76,576.50x = 28,309,745,025
  5. Step 5: Solve for x
    x = 28,309,745,025/76,576.50
  6. Step 6: Final answer
    x = 369,692.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.