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Finding the Third Proportional to 167,136 and 258,922

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Solution

The third proportional to 167,136 and 258,922 is: 401,114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,136 : 258,922 = 258,922 : x
  2. Step 2: Convert to fraction form
    167,136/258,922 = 258,922/x
  3. Step 3: Cross multiply
    167,136x = 258,922 × 258,922
  4. Step 4: Simplify right side
    167,136x = 67,040,602,084
  5. Step 5: Solve for x
    x = 67,040,602,084/167,136
  6. Step 6: Final answer
    x = 401,114.08

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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.