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Finding the Third Proportional to 203,168 and 317,696

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Solution

The third proportional to 203,168 and 317,696 is: 496,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,168 : 317,696 = 317,696 : x
  2. Step 2: Convert to fraction form
    203,168/317,696 = 317,696/x
  3. Step 3: Cross multiply
    203,168x = 317,696 × 317,696
  4. Step 4: Simplify right side
    203,168x = 100,930,748,416
  5. Step 5: Solve for x
    x = 100,930,748,416/203,168
  6. Step 6: Final answer
    x = 496,784.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.