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Finding the Third Proportional to 84,694 and 180,636

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Solution

The third proportional to 84,694 and 180,636 is: 385,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,694 : 180,636 = 180,636 : x
  2. Step 2: Convert to fraction form
    84,694/180,636 = 180,636/x
  3. Step 3: Cross multiply
    84,694x = 180,636 × 180,636
  4. Step 4: Simplify right side
    84,694x = 32,629,364,496
  5. Step 5: Solve for x
    x = 32,629,364,496/84,694
  6. Step 6: Final answer
    x = 385,261.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.