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Finding the Third Proportional to 257,261 and 366,975

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Solution

The third proportional to 257,261 and 366,975 is: 523,478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,261 : 366,975 = 366,975 : x
  2. Step 2: Convert to fraction form
    257,261/366,975 = 366,975/x
  3. Step 3: Cross multiply
    257,261x = 366,975 × 366,975
  4. Step 4: Simplify right side
    257,261x = 134,670,650,625
  5. Step 5: Solve for x
    x = 134,670,650,625/257,261
  6. Step 6: Final answer
    x = 523,478.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.