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Finding the Third Proportional to 196,385 and 311,466

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Solution

The third proportional to 196,385 and 311,466 is: 493,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,385 : 311,466 = 311,466 : x
  2. Step 2: Convert to fraction form
    196,385/311,466 = 311,466/x
  3. Step 3: Cross multiply
    196,385x = 311,466 × 311,466
  4. Step 4: Simplify right side
    196,385x = 97,011,069,156
  5. Step 5: Solve for x
    x = 97,011,069,156/196,385
  6. Step 6: Final answer
    x = 493,984.11

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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.