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Finding the Third Proportional to 181,368 and 394,998

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Solution

The third proportional to 181,368 and 394,998 is: 860,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,368 : 394,998 = 394,998 : x
  2. Step 2: Convert to fraction form
    181,368/394,998 = 394,998/x
  3. Step 3: Cross multiply
    181,368x = 394,998 × 394,998
  4. Step 4: Simplify right side
    181,368x = 156,023,420,004
  5. Step 5: Solve for x
    x = 156,023,420,004/181,368
  6. Step 6: Final answer
    x = 860,258.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.