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Finding the Third Proportional to 116,695 and 237,671

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Solution

The third proportional to 116,695 and 237,671 is: 484,061.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,695 : 237,671 = 237,671 : x
  2. Step 2: Convert to fraction form
    116,695/237,671 = 237,671/x
  3. Step 3: Cross multiply
    116,695x = 237,671 × 237,671
  4. Step 4: Simplify right side
    116,695x = 56,487,504,241
  5. Step 5: Solve for x
    x = 56,487,504,241/116,695
  6. Step 6: Final answer
    x = 484,061.05

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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.