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Finding the Third Proportional to 166,020 and 366,926

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Solution

The third proportional to 166,020 and 366,926 is: 810,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,020 : 366,926 = 366,926 : x
  2. Step 2: Convert to fraction form
    166,020/366,926 = 366,926/x
  3. Step 3: Cross multiply
    166,020x = 366,926 × 366,926
  4. Step 4: Simplify right side
    166,020x = 134,634,689,476
  5. Step 5: Solve for x
    x = 134,634,689,476/166,020
  6. Step 6: Final answer
    x = 810,954.64

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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.