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Finding the Third Proportional to 196,371 and 311,445

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Solution

The third proportional to 196,371 and 311,445 is: 493,952.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,371 : 311,445 = 311,445 : x
  2. Step 2: Convert to fraction form
    196,371/311,445 = 311,445/x
  3. Step 3: Cross multiply
    196,371x = 311,445 × 311,445
  4. Step 4: Simplify right side
    196,371x = 96,997,988,025
  5. Step 5: Solve for x
    x = 96,997,988,025/196,371
  6. Step 6: Final answer
    x = 493,952.71

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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.