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Finding the Third Proportional to 178,846 and 258,616

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Solution

The third proportional to 178,846 and 258,616 is: 373,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,846 : 258,616 = 258,616 : x
  2. Step 2: Convert to fraction form
    178,846/258,616 = 258,616/x
  3. Step 3: Cross multiply
    178,846x = 258,616 × 258,616
  4. Step 4: Simplify right side
    178,846x = 66,882,235,456
  5. Step 5: Solve for x
    x = 66,882,235,456/178,846
  6. Step 6: Final answer
    x = 373,965.51

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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.