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Finding the Third Proportional to 116,706 and 237,692

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Solution

The third proportional to 116,706 and 237,692 is: 484,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,706 : 237,692 = 237,692 : x
  2. Step 2: Convert to fraction form
    116,706/237,692 = 237,692/x
  3. Step 3: Cross multiply
    116,706x = 237,692 × 237,692
  4. Step 4: Simplify right side
    116,706x = 56,497,486,864
  5. Step 5: Solve for x
    x = 56,497,486,864/116,706
  6. Step 6: Final answer
    x = 484,100.96

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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.