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Finding the Third Proportional to 266,102 and 413,167

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Solution

The third proportional to 266,102 and 413,167 is: 641,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,102 : 413,167 = 413,167 : x
  2. Step 2: Convert to fraction form
    266,102/413,167 = 413,167/x
  3. Step 3: Cross multiply
    266,102x = 413,167 × 413,167
  4. Step 4: Simplify right side
    266,102x = 170,706,969,889
  5. Step 5: Solve for x
    x = 170,706,969,889/266,102
  6. Step 6: Final answer
    x = 641,509.53

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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.