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Finding the Third Proportional to 257,245 and 366,950

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Solution

The third proportional to 257,245 and 366,950 is: 523,439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,245 : 366,950 = 366,950 : x
  2. Step 2: Convert to fraction form
    257,245/366,950 = 366,950/x
  3. Step 3: Cross multiply
    257,245x = 366,950 × 366,950
  4. Step 4: Simplify right side
    257,245x = 134,652,302,500
  5. Step 5: Solve for x
    x = 134,652,302,500/257,245
  6. Step 6: Final answer
    x = 523,439.92

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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.