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Finding the Third Proportional to 176.64 and 383.68

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Solution

The third proportional to 176.64 and 383.68 is: 833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.64 : 383.68 = 383.68 : x
  2. Step 2: Convert to fraction form
    176.64/383.68 = 383.68/x
  3. Step 3: Cross multiply
    176.64x = 383.68 × 383.68
  4. Step 4: Simplify right side
    176.64x = 147,208.60
  5. Step 5: Solve for x
    x = 147,208.60/176.64
  6. Step 6: Final answer
    x = 833.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.