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Finding the Third Proportional to 176.06 and 382.08

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Solution

The third proportional to 176.06 and 382.08 is: 829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 382.08 = 382.08 : x
  2. Step 2: Convert to fraction form
    176.06/382.08 = 382.08/x
  3. Step 3: Cross multiply
    176.06x = 382.08 × 382.08
  4. Step 4: Simplify right side
    176.06x = 145,983.69
  5. Step 5: Solve for x
    x = 145,983.69/176.06
  6. Step 6: Final answer
    x = 829.16

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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.