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Finding the Third Proportional to 84,194 and 182,920.75

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Solution

The third proportional to 84,194 and 182,920.75 is: 397,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,194 : 182,920.75 = 182,920.75 : x
  2. Step 2: Convert to fraction form
    84,194/182,920.75 = 182,920.75/x
  3. Step 3: Cross multiply
    84,194x = 182,920.75 × 182,920.75
  4. Step 4: Simplify right side
    84,194x = 33,460,000,780.56
  5. Step 5: Solve for x
    x = 33,460,000,780.56/84,194
  6. Step 6: Final answer
    x = 397,415.50

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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.