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Finding the Third Proportional to 246,168 and 352,026

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Solution

The third proportional to 246,168 and 352,026 is: 503,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,168 : 352,026 = 352,026 : x
  2. Step 2: Convert to fraction form
    246,168/352,026 = 352,026/x
  3. Step 3: Cross multiply
    246,168x = 352,026 × 352,026
  4. Step 4: Simplify right side
    246,168x = 123,922,304,676
  5. Step 5: Solve for x
    x = 123,922,304,676/246,168
  6. Step 6: Final answer
    x = 503,405.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.