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Finding the Third Proportional to 171,071 and 264,910

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Solution

The third proportional to 171,071 and 264,910 is: 410,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,071 : 264,910 = 264,910 : x
  2. Step 2: Convert to fraction form
    171,071/264,910 = 264,910/x
  3. Step 3: Cross multiply
    171,071x = 264,910 × 264,910
  4. Step 4: Simplify right side
    171,071x = 70,177,308,100
  5. Step 5: Solve for x
    x = 70,177,308,100/171,071
  6. Step 6: Final answer
    x = 410,223.29

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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.