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Finding the Third Proportional to 176.06 and 384.19

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Solution

The third proportional to 176.06 and 384.19 is: 838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 384.19 = 384.19 : x
  2. Step 2: Convert to fraction form
    176.06/384.19 = 384.19/x
  3. Step 3: Cross multiply
    176.06x = 384.19 × 384.19
  4. Step 4: Simplify right side
    176.06x = 147,600.04
  5. Step 5: Solve for x
    x = 147,600.04/176.06
  6. Step 6: Final answer
    x = 838.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.