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Finding the Third Proportional to 84,992 and 183,352

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Solution

The third proportional to 84,992 and 183,352 is: 395,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,992 : 183,352 = 183,352 : x
  2. Step 2: Convert to fraction form
    84,992/183,352 = 183,352/x
  3. Step 3: Cross multiply
    84,992x = 183,352 × 183,352
  4. Step 4: Simplify right side
    84,992x = 33,617,955,904
  5. Step 5: Solve for x
    x = 33,617,955,904/84,992
  6. Step 6: Final answer
    x = 395,542.59

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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.