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Finding the Third Proportional to 84,504 and 183,723

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Solution

The third proportional to 84,504 and 183,723 is: 399,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,504 : 183,723 = 183,723 : x
  2. Step 2: Convert to fraction form
    84,504/183,723 = 183,723/x
  3. Step 3: Cross multiply
    84,504x = 183,723 × 183,723
  4. Step 4: Simplify right side
    84,504x = 33,754,140,729
  5. Step 5: Solve for x
    x = 33,754,140,729/84,504
  6. Step 6: Final answer
    x = 399,438.38

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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.