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Finding the Third Proportional to 246,091 and 369,367

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Solution

The third proportional to 246,091 and 369,367 is: 554,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,091 : 369,367 = 369,367 : x
  2. Step 2: Convert to fraction form
    246,091/369,367 = 369,367/x
  3. Step 3: Cross multiply
    246,091x = 369,367 × 369,367
  4. Step 4: Simplify right side
    246,091x = 136,431,980,689
  5. Step 5: Solve for x
    x = 136,431,980,689/246,091
  6. Step 6: Final answer
    x = 554,396.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.