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Finding the Third Proportional to 171,122 and 266,018

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Solution

The third proportional to 171,122 and 266,018 is: 413,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,122 : 266,018 = 266,018 : x
  2. Step 2: Convert to fraction form
    171,122/266,018 = 266,018/x
  3. Step 3: Cross multiply
    171,122x = 266,018 × 266,018
  4. Step 4: Simplify right side
    171,122x = 70,765,576,324
  5. Step 5: Solve for x
    x = 70,765,576,324/171,122
  6. Step 6: Final answer
    x = 413,538.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.