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Finding the Third Proportional to 116,446 and 237,175

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Solution

The third proportional to 116,446 and 237,175 is: 483,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,446 : 237,175 = 237,175 : x
  2. Step 2: Convert to fraction form
    116,446/237,175 = 237,175/x
  3. Step 3: Cross multiply
    116,446x = 237,175 × 237,175
  4. Step 4: Simplify right side
    116,446x = 56,251,980,625
  5. Step 5: Solve for x
    x = 56,251,980,625/116,446
  6. Step 6: Final answer
    x = 483,073.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.