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Finding the Third Proportional to 166,941 and 245,673

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Solution

The third proportional to 166,941 and 245,673 is: 361,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,941 : 245,673 = 245,673 : x
  2. Step 2: Convert to fraction form
    166,941/245,673 = 245,673/x
  3. Step 3: Cross multiply
    166,941x = 245,673 × 245,673
  4. Step 4: Simplify right side
    166,941x = 60,355,222,929
  5. Step 5: Solve for x
    x = 60,355,222,929/166,941
  6. Step 6: Final answer
    x = 361,536.25

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Why These Related Problems?

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