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Finding the Third Proportional to 196,384 and 307,212

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Solution

The third proportional to 196,384 and 307,212 is: 480,585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,384 : 307,212 = 307,212 : x
  2. Step 2: Convert to fraction form
    196,384/307,212 = 307,212/x
  3. Step 3: Cross multiply
    196,384x = 307,212 × 307,212
  4. Step 4: Simplify right side
    196,384x = 94,379,212,944
  5. Step 5: Solve for x
    x = 94,379,212,944/196,384
  6. Step 6: Final answer
    x = 480,585.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.