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Finding the Third Proportional to 84,869 and 183,520

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Solution

The third proportional to 84,869 and 183,520 is: 396,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,869 : 183,520 = 183,520 : x
  2. Step 2: Convert to fraction form
    84,869/183,520 = 183,520/x
  3. Step 3: Cross multiply
    84,869x = 183,520 × 183,520
  4. Step 4: Simplify right side
    84,869x = 33,679,590,400
  5. Step 5: Solve for x
    x = 33,679,590,400/84,869
  6. Step 6: Final answer
    x = 396,842.08

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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.