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Finding the Third Proportional to 196,906 and 295,540

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Solution

The third proportional to 196,906 and 295,540 is: 443,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,906 : 295,540 = 295,540 : x
  2. Step 2: Convert to fraction form
    196,906/295,540 = 295,540/x
  3. Step 3: Cross multiply
    196,906x = 295,540 × 295,540
  4. Step 4: Simplify right side
    196,906x = 87,343,891,600
  5. Step 5: Solve for x
    x = 87,343,891,600/196,906
  6. Step 6: Final answer
    x = 443,581.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.