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Finding the Third Proportional to 84,270 and 194,595

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Solution

The third proportional to 84,270 and 194,595 is: 449,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,270 : 194,595 = 194,595 : x
  2. Step 2: Convert to fraction form
    84,270/194,595 = 194,595/x
  3. Step 3: Cross multiply
    84,270x = 194,595 × 194,595
  4. Step 4: Simplify right side
    84,270x = 37,867,214,025
  5. Step 5: Solve for x
    x = 37,867,214,025/84,270
  6. Step 6: Final answer
    x = 449,355.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.