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Finding the Third Proportional to 196,934 and 429,964

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Solution

The third proportional to 196,934 and 429,964 is: 938,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,934 : 429,964 = 429,964 : x
  2. Step 2: Convert to fraction form
    196,934/429,964 = 429,964/x
  3. Step 3: Cross multiply
    196,934x = 429,964 × 429,964
  4. Step 4: Simplify right side
    196,934x = 184,869,041,296
  5. Step 5: Solve for x
    x = 184,869,041,296/196,934
  6. Step 6: Final answer
    x = 938,736.03

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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.