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Finding the Third Proportional to 116.94 and 275.56

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Solution

The third proportional to 116.94 and 275.56 is: 649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.94 : 275.56 = 275.56 : x
  2. Step 2: Convert to fraction form
    116.94/275.56 = 275.56/x
  3. Step 3: Cross multiply
    116.94x = 275.56 × 275.56
  4. Step 4: Simplify right side
    116.94x = 75,934.69
  5. Step 5: Solve for x
    x = 75,934.69/116.94
  6. Step 6: Final answer
    x = 649.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.