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Finding the Third Proportional to 116,098 and 237,116

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Solution

The third proportional to 116,098 and 237,116 is: 484,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,098 : 237,116 = 237,116 : x
  2. Step 2: Convert to fraction form
    116,098/237,116 = 237,116/x
  3. Step 3: Cross multiply
    116,098x = 237,116 × 237,116
  4. Step 4: Simplify right side
    116,098x = 56,223,997,456
  5. Step 5: Solve for x
    x = 56,223,997,456/116,098
  6. Step 6: Final answer
    x = 484,280.50

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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.