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Finding the Third Proportional to 196,950 and 429,544

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Solution

The third proportional to 196,950 and 429,544 is: 936,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,950 : 429,544 = 429,544 : x
  2. Step 2: Convert to fraction form
    196,950/429,544 = 429,544/x
  3. Step 3: Cross multiply
    196,950x = 429,544 × 429,544
  4. Step 4: Simplify right side
    196,950x = 184,508,047,936
  5. Step 5: Solve for x
    x = 184,508,047,936/196,950
  6. Step 6: Final answer
    x = 936,826.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.