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Finding the Third Proportional to 167,985 and 262,206

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Solution

The third proportional to 167,985 and 262,206 is: 409,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,985 : 262,206 = 262,206 : x
  2. Step 2: Convert to fraction form
    167,985/262,206 = 262,206/x
  3. Step 3: Cross multiply
    167,985x = 262,206 × 262,206
  4. Step 4: Simplify right side
    167,985x = 68,751,986,436
  5. Step 5: Solve for x
    x = 68,751,986,436/167,985
  6. Step 6: Final answer
    x = 409,274.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.