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Finding the Third Proportional to 166,014.38 and 366,914.63

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Solution

The third proportional to 166,014.38 and 366,914.63 is: 810,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,014.38 : 366,914.63 = 366,914.63 : x
  2. Step 2: Convert to fraction form
    166,014.38/366,914.63 = 366,914.63/x
  3. Step 3: Cross multiply
    166,014.38x = 366,914.63 × 366,914.63
  4. Step 4: Simplify right side
    166,014.38x = 134,626,342,038.89
  5. Step 5: Solve for x
    x = 134,626,342,038.89/166,014.38
  6. Step 6: Final answer
    x = 810,931.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.