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Finding the Third Proportional to 264,096 and 395,127

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Solution

The third proportional to 264,096 and 395,127 is: 591,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,096 : 395,127 = 395,127 : x
  2. Step 2: Convert to fraction form
    264,096/395,127 = 395,127/x
  3. Step 3: Cross multiply
    264,096x = 395,127 × 395,127
  4. Step 4: Simplify right side
    264,096x = 156,125,346,129
  5. Step 5: Solve for x
    x = 156,125,346,129/264,096
  6. Step 6: Final answer
    x = 591,168.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.