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Finding the Third Proportional to 166,611 and 366,426

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Solution

The third proportional to 166,611 and 366,426 is: 805,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,611 : 366,426 = 366,426 : x
  2. Step 2: Convert to fraction form
    166,611/366,426 = 366,426/x
  3. Step 3: Cross multiply
    166,611x = 366,426 × 366,426
  4. Step 4: Simplify right side
    166,611x = 134,268,013,476
  5. Step 5: Solve for x
    x = 134,268,013,476/166,611
  6. Step 6: Final answer
    x = 805,877.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.