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Finding the Third Proportional to 196,937 and 429,521

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Solution

The third proportional to 196,937 and 429,521 is: 936,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,937 : 429,521 = 429,521 : x
  2. Step 2: Convert to fraction form
    196,937/429,521 = 429,521/x
  3. Step 3: Cross multiply
    196,937x = 429,521 × 429,521
  4. Step 4: Simplify right side
    196,937x = 184,488,289,441
  5. Step 5: Solve for x
    x = 184,488,289,441/196,937
  6. Step 6: Final answer
    x = 936,788.36

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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.