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Finding the Third Proportional to 257,234 and 366,934

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Solution

The third proportional to 257,234 and 366,934 is: 523,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,234 : 366,934 = 366,934 : x
  2. Step 2: Convert to fraction form
    257,234/366,934 = 366,934/x
  3. Step 3: Cross multiply
    257,234x = 366,934 × 366,934
  4. Step 4: Simplify right side
    257,234x = 134,640,560,356
  5. Step 5: Solve for x
    x = 134,640,560,356/257,234
  6. Step 6: Final answer
    x = 523,416.66

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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.