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Finding the Third Proportional to 84,738 and 183,420

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Solution

The third proportional to 84,738 and 183,420 is: 397,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,738 : 183,420 = 183,420 : x
  2. Step 2: Convert to fraction form
    84,738/183,420 = 183,420/x
  3. Step 3: Cross multiply
    84,738x = 183,420 × 183,420
  4. Step 4: Simplify right side
    84,738x = 33,642,896,400
  5. Step 5: Solve for x
    x = 33,642,896,400/84,738
  6. Step 6: Final answer
    x = 397,022.54

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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.