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Finding the Third Proportional to 84,784 and 179,018

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Solution

The third proportional to 84,784 and 179,018 is: 377,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,784 : 179,018 = 179,018 : x
  2. Step 2: Convert to fraction form
    84,784/179,018 = 179,018/x
  3. Step 3: Cross multiply
    84,784x = 179,018 × 179,018
  4. Step 4: Simplify right side
    84,784x = 32,047,444,324
  5. Step 5: Solve for x
    x = 32,047,444,324/84,784
  6. Step 6: Final answer
    x = 377,989.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.