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Finding the Third Proportional to 82.38 and 177.63

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Solution

The third proportional to 82.38 and 177.63 is: 383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.38 : 177.63 = 177.63 : x
  2. Step 2: Convert to fraction form
    82.38/177.63 = 177.63/x
  3. Step 3: Cross multiply
    82.38x = 177.63 × 177.63
  4. Step 4: Simplify right side
    82.38x = 31,550.64
  5. Step 5: Solve for x
    x = 31,550.64/82.38
  6. Step 6: Final answer
    x = 383.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.