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Finding the Third Proportional to 196,936 and 429,517

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Solution

The third proportional to 196,936 and 429,517 is: 936,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,936 : 429,517 = 429,517 : x
  2. Step 2: Convert to fraction form
    196,936/429,517 = 429,517/x
  3. Step 3: Cross multiply
    196,936x = 429,517 × 429,517
  4. Step 4: Simplify right side
    196,936x = 184,484,853,289
  5. Step 5: Solve for x
    x = 184,484,853,289/196,936
  6. Step 6: Final answer
    x = 936,775.67

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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.