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Finding the Third Proportional to 171,618 and 262,533

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Solution

The third proportional to 171,618 and 262,533 is: 401,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,618 : 262,533 = 262,533 : x
  2. Step 2: Convert to fraction form
    171,618/262,533 = 262,533/x
  3. Step 3: Cross multiply
    171,618x = 262,533 × 262,533
  4. Step 4: Simplify right side
    171,618x = 68,923,576,089
  5. Step 5: Solve for x
    x = 68,923,576,089/171,618
  6. Step 6: Final answer
    x = 401,610.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.