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Finding the Third Proportional to 196,271 and 311,291

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Solution

The third proportional to 196,271 and 311,291 is: 493,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,271 : 311,291 = 311,291 : x
  2. Step 2: Convert to fraction form
    196,271/311,291 = 311,291/x
  3. Step 3: Cross multiply
    196,271x = 311,291 × 311,291
  4. Step 4: Simplify right side
    196,271x = 96,902,086,681
  5. Step 5: Solve for x
    x = 96,902,086,681/196,271
  6. Step 6: Final answer
    x = 493,715.76

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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.