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Finding the Third Proportional to 117.94 and 177.47

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Solution

The third proportional to 117.94 and 177.47 is: 267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.94 : 177.47 = 177.47 : x
  2. Step 2: Convert to fraction form
    117.94/177.47 = 177.47/x
  3. Step 3: Cross multiply
    117.94x = 177.47 × 177.47
  4. Step 4: Simplify right side
    117.94x = 31,495.16
  5. Step 5: Solve for x
    x = 31,495.16/117.94
  6. Step 6: Final answer
    x = 267.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.