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Finding the Third Proportional to 166,280.34 and 364,750.59

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Solution

The third proportional to 166,280.34 and 364,750.59 is: 800,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,280.34 : 364,750.59 = 364,750.59 : x
  2. Step 2: Convert to fraction form
    166,280.34/364,750.59 = 364,750.59/x
  3. Step 3: Cross multiply
    166,280.34x = 364,750.59 × 364,750.59
  4. Step 4: Simplify right side
    166,280.34x = 133,042,995,640.98
  5. Step 5: Solve for x
    x = 133,042,995,640.98/166,280.34
  6. Step 6: Final answer
    x = 800,112.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.