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Finding the Third Proportional to 197,532 and 313,794

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Solution

The third proportional to 197,532 and 313,794 is: 498,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,532 : 313,794 = 313,794 : x
  2. Step 2: Convert to fraction form
    197,532/313,794 = 313,794/x
  3. Step 3: Cross multiply
    197,532x = 313,794 × 313,794
  4. Step 4: Simplify right side
    197,532x = 98,466,674,436
  5. Step 5: Solve for x
    x = 98,466,674,436/197,532
  6. Step 6: Final answer
    x = 498,484.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.