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Finding the Third Proportional to 264,085 and 395,112

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Solution

The third proportional to 264,085 and 395,112 is: 591,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,085 : 395,112 = 395,112 : x
  2. Step 2: Convert to fraction form
    264,085/395,112 = 395,112/x
  3. Step 3: Cross multiply
    264,085x = 395,112 × 395,112
  4. Step 4: Simplify right side
    264,085x = 156,113,492,544
  5. Step 5: Solve for x
    x = 156,113,492,544/264,085
  6. Step 6: Final answer
    x = 591,148.65

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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.