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Finding the Third Proportional to 168,008 and 259,946

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Solution

The third proportional to 168,008 and 259,946 is: 402,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,008 : 259,946 = 259,946 : x
  2. Step 2: Convert to fraction form
    168,008/259,946 = 259,946/x
  3. Step 3: Cross multiply
    168,008x = 259,946 × 259,946
  4. Step 4: Simplify right side
    168,008x = 67,571,922,916
  5. Step 5: Solve for x
    x = 67,571,922,916/168,008
  6. Step 6: Final answer
    x = 402,194.67

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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.