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Finding the Third Proportional to 196,885 and 429,860

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Solution

The third proportional to 196,885 and 429,860 is: 938,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,885 : 429,860 = 429,860 : x
  2. Step 2: Convert to fraction form
    196,885/429,860 = 429,860/x
  3. Step 3: Cross multiply
    196,885x = 429,860 × 429,860
  4. Step 4: Simplify right side
    196,885x = 184,779,619,600
  5. Step 5: Solve for x
    x = 184,779,619,600/196,885
  6. Step 6: Final answer
    x = 938,515.48

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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.