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Finding the Third Proportional to 116,941 and 176,469

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Solution

The third proportional to 116,941 and 176,469 is: 266,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,941 : 176,469 = 176,469 : x
  2. Step 2: Convert to fraction form
    116,941/176,469 = 176,469/x
  3. Step 3: Cross multiply
    116,941x = 176,469 × 176,469
  4. Step 4: Simplify right side
    116,941x = 31,141,307,961
  5. Step 5: Solve for x
    x = 31,141,307,961/116,941
  6. Step 6: Final answer
    x = 266,299.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.