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Finding the Third Proportional to 168,362 and 369,934

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Solution

The third proportional to 168,362 and 369,934 is: 812,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,362 : 369,934 = 369,934 : x
  2. Step 2: Convert to fraction form
    168,362/369,934 = 369,934/x
  3. Step 3: Cross multiply
    168,362x = 369,934 × 369,934
  4. Step 4: Simplify right side
    168,362x = 136,851,164,356
  5. Step 5: Solve for x
    x = 136,851,164,356/168,362
  6. Step 6: Final answer
    x = 812,838.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.