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Finding the Third Proportional to 84,216 and 181,176

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Solution

The third proportional to 84,216 and 181,176 is: 389,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,216 : 181,176 = 181,176 : x
  2. Step 2: Convert to fraction form
    84,216/181,176 = 181,176/x
  3. Step 3: Cross multiply
    84,216x = 181,176 × 181,176
  4. Step 4: Simplify right side
    84,216x = 32,824,742,976
  5. Step 5: Solve for x
    x = 32,824,742,976/84,216
  6. Step 6: Final answer
    x = 389,768.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.