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Finding the Third Proportional to 196,376 and 311,452

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Solution

The third proportional to 196,376 and 311,452 is: 493,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,376 : 311,452 = 311,452 : x
  2. Step 2: Convert to fraction form
    196,376/311,452 = 311,452/x
  3. Step 3: Cross multiply
    196,376x = 311,452 × 311,452
  4. Step 4: Simplify right side
    196,376x = 97,002,348,304
  5. Step 5: Solve for x
    x = 97,002,348,304/196,376
  6. Step 6: Final answer
    x = 493,962.34

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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.