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Finding the Third Proportional to 179,042 and 258,926

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Solution

The third proportional to 179,042 and 258,926 is: 374,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,042 : 258,926 = 258,926 : x
  2. Step 2: Convert to fraction form
    179,042/258,926 = 258,926/x
  3. Step 3: Cross multiply
    179,042x = 258,926 × 258,926
  4. Step 4: Simplify right side
    179,042x = 67,042,673,476
  5. Step 5: Solve for x
    x = 67,042,673,476/179,042
  6. Step 6: Final answer
    x = 374,452.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.