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Finding the Third Proportional to 196,630 and 296,556

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Solution

The third proportional to 196,630 and 296,556 is: 447,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,630 : 296,556 = 296,556 : x
  2. Step 2: Convert to fraction form
    196,630/296,556 = 296,556/x
  3. Step 3: Cross multiply
    196,630x = 296,556 × 296,556
  4. Step 4: Simplify right side
    196,630x = 87,945,461,136
  5. Step 5: Solve for x
    x = 87,945,461,136/196,630
  6. Step 6: Final answer
    x = 447,263.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.