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Finding the Third Proportional to 167,066 and 259,083

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Solution

The third proportional to 167,066 and 259,083 is: 401,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,066 : 259,083 = 259,083 : x
  2. Step 2: Convert to fraction form
    167,066/259,083 = 259,083/x
  3. Step 3: Cross multiply
    167,066x = 259,083 × 259,083
  4. Step 4: Simplify right side
    167,066x = 67,124,000,889
  5. Step 5: Solve for x
    x = 67,124,000,889/167,066
  6. Step 6: Final answer
    x = 401,781.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.