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Finding the Third Proportional to 179,144 and 391,036

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Solution

The third proportional to 179,144 and 391,036 is: 853,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,144 : 391,036 = 391,036 : x
  2. Step 2: Convert to fraction form
    179,144/391,036 = 391,036/x
  3. Step 3: Cross multiply
    179,144x = 391,036 × 391,036
  4. Step 4: Simplify right side
    179,144x = 152,909,153,296
  5. Step 5: Solve for x
    x = 152,909,153,296/179,144
  6. Step 6: Final answer
    x = 853,554.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.