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Finding the Third Proportional to 116,697 and 237,675

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Solution

The third proportional to 116,697 and 237,675 is: 484,069.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,697 : 237,675 = 237,675 : x
  2. Step 2: Convert to fraction form
    116,697/237,675 = 237,675/x
  3. Step 3: Cross multiply
    116,697x = 237,675 × 237,675
  4. Step 4: Simplify right side
    116,697x = 56,489,405,625
  5. Step 5: Solve for x
    x = 56,489,405,625/116,697
  6. Step 6: Final answer
    x = 484,069.05

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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.