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Finding the Third Proportional to 179,706 and 385,653

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Solution

The third proportional to 179,706 and 385,653 is: 827,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,706 : 385,653 = 385,653 : x
  2. Step 2: Convert to fraction form
    179,706/385,653 = 385,653/x
  3. Step 3: Cross multiply
    179,706x = 385,653 × 385,653
  4. Step 4: Simplify right side
    179,706x = 148,728,236,409
  5. Step 5: Solve for x
    x = 148,728,236,409/179,706
  6. Step 6: Final answer
    x = 827,619.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.