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Finding the Third Proportional to 84,384 and 183,888

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Solution

The third proportional to 84,384 and 183,888 is: 400,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,384 : 183,888 = 183,888 : x
  2. Step 2: Convert to fraction form
    84,384/183,888 = 183,888/x
  3. Step 3: Cross multiply
    84,384x = 183,888 × 183,888
  4. Step 4: Simplify right side
    84,384x = 33,814,796,544
  5. Step 5: Solve for x
    x = 33,814,796,544/84,384
  6. Step 6: Final answer
    x = 400,725.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.