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Finding the Third Proportional to 174.63 and 368.38

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Solution

The third proportional to 174.63 and 368.38 is: 777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.63 : 368.38 = 368.38 : x
  2. Step 2: Convert to fraction form
    174.63/368.38 = 368.38/x
  3. Step 3: Cross multiply
    174.63x = 368.38 × 368.38
  4. Step 4: Simplify right side
    174.63x = 135,700.14
  5. Step 5: Solve for x
    x = 135,700.14/174.63
  6. Step 6: Final answer
    x = 777.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.