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Finding the Third Proportional to 166,255.03 and 263,299.50

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Solution

The third proportional to 166,255.03 and 263,299.50 is: 416,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,255.03 : 263,299.50 = 263,299.50 : x
  2. Step 2: Convert to fraction form
    166,255.03/263,299.50 = 263,299.50/x
  3. Step 3: Cross multiply
    166,255.03x = 263,299.50 × 263,299.50
  4. Step 4: Simplify right side
    166,255.03x = 69,326,626,700.25
  5. Step 5: Solve for x
    x = 69,326,626,700.25/166,255.03
  6. Step 6: Final answer
    x = 416,989.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.