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Finding the Third Proportional to 116,455 and 237,190

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Solution

The third proportional to 116,455 and 237,190 is: 483,097.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,455 : 237,190 = 237,190 : x
  2. Step 2: Convert to fraction form
    116,455/237,190 = 237,190/x
  3. Step 3: Cross multiply
    116,455x = 237,190 × 237,190
  4. Step 4: Simplify right side
    116,455x = 56,259,096,100
  5. Step 5: Solve for x
    x = 56,259,096,100/116,455
  6. Step 6: Final answer
    x = 483,097.30

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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.