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Finding the Third Proportional to 77,604.33 and 166,280.34

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Solution

The third proportional to 77,604.33 and 166,280.34 is: 356,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,604.33 : 166,280.34 = 166,280.34 : x
  2. Step 2: Convert to fraction form
    77,604.33/166,280.34 = 166,280.34/x
  3. Step 3: Cross multiply
    77,604.33x = 166,280.34 × 166,280.34
  4. Step 4: Simplify right side
    77,604.33x = 27,649,152,717.62
  5. Step 5: Solve for x
    x = 27,649,152,717.62/77,604.33
  6. Step 6: Final answer
    x = 356,283.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.