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Finding the Third Proportional to 82,475 and 183,838

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Solution

The third proportional to 82,475 and 183,838 is: 409,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,475 : 183,838 = 183,838 : x
  2. Step 2: Convert to fraction form
    82,475/183,838 = 183,838/x
  3. Step 3: Cross multiply
    82,475x = 183,838 × 183,838
  4. Step 4: Simplify right side
    82,475x = 33,796,410,244
  5. Step 5: Solve for x
    x = 33,796,410,244/82,475
  6. Step 6: Final answer
    x = 409,777.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.