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Finding the Third Proportional to 179,136.50 and 391,021

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Solution

The third proportional to 179,136.50 and 391,021 is: 853,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,136.50 : 391,021 = 391,021 : x
  2. Step 2: Convert to fraction form
    179,136.50/391,021 = 391,021/x
  3. Step 3: Cross multiply
    179,136.50x = 391,021 × 391,021
  4. Step 4: Simplify right side
    179,136.50x = 152,897,422,441
  5. Step 5: Solve for x
    x = 152,897,422,441/179,136.50
  6. Step 6: Final answer
    x = 853,524.67

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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.