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Finding the Third Proportional to 119,590 and 246,954

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Solution

The third proportional to 119,590 and 246,954 is: 509,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,590 : 246,954 = 246,954 : x
  2. Step 2: Convert to fraction form
    119,590/246,954 = 246,954/x
  3. Step 3: Cross multiply
    119,590x = 246,954 × 246,954
  4. Step 4: Simplify right side
    119,590x = 60,986,278,116
  5. Step 5: Solve for x
    x = 60,986,278,116/119,590
  6. Step 6: Final answer
    x = 509,961.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.