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Finding the Third Proportional to 84,932 and 183,704

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Solution

The third proportional to 84,932 and 183,704 is: 397,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,932 : 183,704 = 183,704 : x
  2. Step 2: Convert to fraction form
    84,932/183,704 = 183,704/x
  3. Step 3: Cross multiply
    84,932x = 183,704 × 183,704
  4. Step 4: Simplify right side
    84,932x = 33,747,159,616
  5. Step 5: Solve for x
    x = 33,747,159,616/84,932
  6. Step 6: Final answer
    x = 397,343.28

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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.