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Finding the Third Proportional to 166,995 and 368,982

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Solution

The third proportional to 166,995 and 368,982 is: 815,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,995 : 368,982 = 368,982 : x
  2. Step 2: Convert to fraction form
    166,995/368,982 = 368,982/x
  3. Step 3: Cross multiply
    166,995x = 368,982 × 368,982
  4. Step 4: Simplify right side
    166,995x = 136,147,716,324
  5. Step 5: Solve for x
    x = 136,147,716,324/166,995
  6. Step 6: Final answer
    x = 815,280.20

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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.