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Finding the Third Proportional to 171,038 and 395,910

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Solution

The third proportional to 171,038 and 395,910 is: 916,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,038 : 395,910 = 395,910 : x
  2. Step 2: Convert to fraction form
    171,038/395,910 = 395,910/x
  3. Step 3: Cross multiply
    171,038x = 395,910 × 395,910
  4. Step 4: Simplify right side
    171,038x = 156,744,728,100
  5. Step 5: Solve for x
    x = 156,744,728,100/171,038
  6. Step 6: Final answer
    x = 916,432.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.