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Finding the Third Proportional to 176.03 and 382.32

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Solution

The third proportional to 176.03 and 382.32 is: 830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.03 : 382.32 = 382.32 : x
  2. Step 2: Convert to fraction form
    176.03/382.32 = 382.32/x
  3. Step 3: Cross multiply
    176.03x = 382.32 × 382.32
  4. Step 4: Simplify right side
    176.03x = 146,171.81
  5. Step 5: Solve for x
    x = 146,171.81/176.03
  6. Step 6: Final answer
    x = 830.39

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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.