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Finding the Third Proportional to 180,647 and 254,166

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Solution

The third proportional to 180,647 and 254,166 is: 357,605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,647 : 254,166 = 254,166 : x
  2. Step 2: Convert to fraction form
    180,647/254,166 = 254,166/x
  3. Step 3: Cross multiply
    180,647x = 254,166 × 254,166
  4. Step 4: Simplify right side
    180,647x = 64,600,355,556
  5. Step 5: Solve for x
    x = 64,600,355,556/180,647
  6. Step 6: Final answer
    x = 357,605.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.