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Finding the Third Proportional to 166,816 and 245,800

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Solution

The third proportional to 166,816 and 245,800 is: 362,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,816 : 245,800 = 245,800 : x
  2. Step 2: Convert to fraction form
    166,816/245,800 = 245,800/x
  3. Step 3: Cross multiply
    166,816x = 245,800 × 245,800
  4. Step 4: Simplify right side
    166,816x = 60,417,640,000
  5. Step 5: Solve for x
    x = 60,417,640,000/166,816
  6. Step 6: Final answer
    x = 362,181.33

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.