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Finding the Third Proportional to 196,556 and 429,919

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Solution

The third proportional to 196,556 and 429,919 is: 940,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,556 : 429,919 = 429,919 : x
  2. Step 2: Convert to fraction form
    196,556/429,919 = 429,919/x
  3. Step 3: Cross multiply
    196,556x = 429,919 × 429,919
  4. Step 4: Simplify right side
    196,556x = 184,830,346,561
  5. Step 5: Solve for x
    x = 184,830,346,561/196,556
  6. Step 6: Final answer
    x = 940,344.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.