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Finding the Third Proportional to 166,095 and 263,722

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Solution

The third proportional to 166,095 and 263,722 is: 418,732.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,095 : 263,722 = 263,722 : x
  2. Step 2: Convert to fraction form
    166,095/263,722 = 263,722/x
  3. Step 3: Cross multiply
    166,095x = 263,722 × 263,722
  4. Step 4: Simplify right side
    166,095x = 69,549,293,284
  5. Step 5: Solve for x
    x = 69,549,293,284/166,095
  6. Step 6: Final answer
    x = 418,732.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.