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Finding the Third Proportional to 116,453 and 237,186

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Solution

The third proportional to 116,453 and 237,186 is: 483,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,453 : 237,186 = 237,186 : x
  2. Step 2: Convert to fraction form
    116,453/237,186 = 237,186/x
  3. Step 3: Cross multiply
    116,453x = 237,186 × 237,186
  4. Step 4: Simplify right side
    116,453x = 56,257,198,596
  5. Step 5: Solve for x
    x = 56,257,198,596/116,453
  6. Step 6: Final answer
    x = 483,089.30

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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.