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Finding the Third Proportional to 196,832 and 313,347

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Solution

The third proportional to 196,832 and 313,347 is: 498,833.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,832 : 313,347 = 313,347 : x
  2. Step 2: Convert to fraction form
    196,832/313,347 = 313,347/x
  3. Step 3: Cross multiply
    196,832x = 313,347 × 313,347
  4. Step 4: Simplify right side
    196,832x = 98,186,342,409
  5. Step 5: Solve for x
    x = 98,186,342,409/196,832
  6. Step 6: Final answer
    x = 498,833.23

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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.