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Finding the Third Proportional to 193,716 and 410,514

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Solution

The third proportional to 193,716 and 410,514 is: 869,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,716 : 410,514 = 410,514 : x
  2. Step 2: Convert to fraction form
    193,716/410,514 = 410,514/x
  3. Step 3: Cross multiply
    193,716x = 410,514 × 410,514
  4. Step 4: Simplify right side
    193,716x = 168,521,744,196
  5. Step 5: Solve for x
    x = 168,521,744,196/193,716
  6. Step 6: Final answer
    x = 869,942.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.