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Finding the Third Proportional to 179,266.50 and 382,515.75

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Solution

The third proportional to 179,266.50 and 382,515.75 is: 816,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,266.50 : 382,515.75 = 382,515.75 : x
  2. Step 2: Convert to fraction form
    179,266.50/382,515.75 = 382,515.75/x
  3. Step 3: Cross multiply
    179,266.50x = 382,515.75 × 382,515.75
  4. Step 4: Simplify right side
    179,266.50x = 146,318,298,998.06
  5. Step 5: Solve for x
    x = 146,318,298,998.06/179,266.50
  6. Step 6: Final answer
    x = 816,205.48

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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.