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Finding the Third Proportional to 166,048 and 233,001

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Solution

The third proportional to 166,048 and 233,001 is: 326,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,048 : 233,001 = 233,001 : x
  2. Step 2: Convert to fraction form
    166,048/233,001 = 233,001/x
  3. Step 3: Cross multiply
    166,048x = 233,001 × 233,001
  4. Step 4: Simplify right side
    166,048x = 54,289,466,001
  5. Step 5: Solve for x
    x = 54,289,466,001/166,048
  6. Step 6: Final answer
    x = 326,950.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.