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Finding the Third Proportional to 167,046 and 259,056

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Solution

The third proportional to 167,046 and 259,056 is: 401,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,046 : 259,056 = 259,056 : x
  2. Step 2: Convert to fraction form
    167,046/259,056 = 259,056/x
  3. Step 3: Cross multiply
    167,046x = 259,056 × 259,056
  4. Step 4: Simplify right side
    167,046x = 67,110,011,136
  5. Step 5: Solve for x
    x = 67,110,011,136/167,046
  6. Step 6: Final answer
    x = 401,745.69

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