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Finding the Third Proportional to 119,594 and 246,962

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Solution

The third proportional to 119,594 and 246,962 is: 509,977.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,594 : 246,962 = 246,962 : x
  2. Step 2: Convert to fraction form
    119,594/246,962 = 246,962/x
  3. Step 3: Cross multiply
    119,594x = 246,962 × 246,962
  4. Step 4: Simplify right side
    119,594x = 60,990,229,444
  5. Step 5: Solve for x
    x = 60,990,229,444/119,594
  6. Step 6: Final answer
    x = 509,977.34

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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.