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Finding the Third Proportional to 197,514 and 301,131

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Solution

The third proportional to 197,514 and 301,131 is: 459,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,514 : 301,131 = 301,131 : x
  2. Step 2: Convert to fraction form
    197,514/301,131 = 301,131/x
  3. Step 3: Cross multiply
    197,514x = 301,131 × 301,131
  4. Step 4: Simplify right side
    197,514x = 90,679,879,161
  5. Step 5: Solve for x
    x = 90,679,879,161/197,514
  6. Step 6: Final answer
    x = 459,106.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.