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Finding the Third Proportional to 167,069 and 259,091

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Solution

The third proportional to 167,069 and 259,091 is: 401,798.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,069 : 259,091 = 259,091 : x
  2. Step 2: Convert to fraction form
    167,069/259,091 = 259,091/x
  3. Step 3: Cross multiply
    167,069x = 259,091 × 259,091
  4. Step 4: Simplify right side
    167,069x = 67,128,146,281
  5. Step 5: Solve for x
    x = 67,128,146,281/167,069
  6. Step 6: Final answer
    x = 401,798.94

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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.