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Finding the Third Proportional to 80,684.44 and 170,602.88

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Solution

The third proportional to 80,684.44 and 170,602.88 is: 360,730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,684.44 : 170,602.88 = 170,602.88 : x
  2. Step 2: Convert to fraction form
    80,684.44/170,602.88 = 170,602.88/x
  3. Step 3: Cross multiply
    80,684.44x = 170,602.88 × 170,602.88
  4. Step 4: Simplify right side
    80,684.44x = 29,105,340,958.27
  5. Step 5: Solve for x
    x = 29,105,340,958.27/80,684.44
  6. Step 6: Final answer
    x = 360,730.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.