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Finding the Third Proportional to 166,502 and 264,823

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Solution

The third proportional to 166,502 and 264,823 is: 421,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,502 : 264,823 = 264,823 : x
  2. Step 2: Convert to fraction form
    166,502/264,823 = 264,823/x
  3. Step 3: Cross multiply
    166,502x = 264,823 × 264,823
  4. Step 4: Simplify right side
    166,502x = 70,131,221,329
  5. Step 5: Solve for x
    x = 70,131,221,329/166,502
  6. Step 6: Final answer
    x = 421,203.48

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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.