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Finding the Third Proportional to 257,264 and 366,976

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Solution

The third proportional to 257,264 and 366,976 is: 523,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,264 : 366,976 = 366,976 : x
  2. Step 2: Convert to fraction form
    257,264/366,976 = 366,976/x
  3. Step 3: Cross multiply
    257,264x = 366,976 × 366,976
  4. Step 4: Simplify right side
    257,264x = 134,671,384,576
  5. Step 5: Solve for x
    x = 134,671,384,576/257,264
  6. Step 6: Final answer
    x = 523,475.44

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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.