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Finding the Third Proportional to 237,958 and 343,807

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Solution

The third proportional to 237,958 and 343,807 is: 496,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,958 : 343,807 = 343,807 : x
  2. Step 2: Convert to fraction form
    237,958/343,807 = 343,807/x
  3. Step 3: Cross multiply
    237,958x = 343,807 × 343,807
  4. Step 4: Simplify right side
    237,958x = 118,203,253,249
  5. Step 5: Solve for x
    x = 118,203,253,249/237,958
  6. Step 6: Final answer
    x = 496,739.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.