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Finding the Third Proportional to 196,966.69 and 323,600.06

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Solution

The third proportional to 196,966.69 and 323,600.06 is: 531,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,966.69 : 323,600.06 = 323,600.06 : x
  2. Step 2: Convert to fraction form
    196,966.69/323,600.06 = 323,600.06/x
  3. Step 3: Cross multiply
    196,966.69x = 323,600.06 × 323,600.06
  4. Step 4: Simplify right side
    196,966.69x = 104,717,000,450.00
  5. Step 5: Solve for x
    x = 104,717,000,450.00/196,966.69
  6. Step 6: Final answer
    x = 531,648.28

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.