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Finding the Third Proportional to 237,962 and 343,813

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Solution

The third proportional to 237,962 and 343,813 is: 496,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,962 : 343,813 = 343,813 : x
  2. Step 2: Convert to fraction form
    237,962/343,813 = 343,813/x
  3. Step 3: Cross multiply
    237,962x = 343,813 × 343,813
  4. Step 4: Simplify right side
    237,962x = 118,207,378,969
  5. Step 5: Solve for x
    x = 118,207,378,969/237,962
  6. Step 6: Final answer
    x = 496,748.97

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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.