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Finding the Third Proportional to 158,045 and 342,874

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Solution

The third proportional to 158,045 and 342,874 is: 743,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,045 : 342,874 = 342,874 : x
  2. Step 2: Convert to fraction form
    158,045/342,874 = 342,874/x
  3. Step 3: Cross multiply
    158,045x = 342,874 × 342,874
  4. Step 4: Simplify right side
    158,045x = 117,562,579,876
  5. Step 5: Solve for x
    x = 117,562,579,876/158,045
  6. Step 6: Final answer
    x = 743,855.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.