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Finding the Third Proportional to 179,138 and 391,024

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Solution

The third proportional to 179,138 and 391,024 is: 853,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,138 : 391,024 = 391,024 : x
  2. Step 2: Convert to fraction form
    179,138/391,024 = 391,024/x
  3. Step 3: Cross multiply
    179,138x = 391,024 × 391,024
  4. Step 4: Simplify right side
    179,138x = 152,899,768,576
  5. Step 5: Solve for x
    x = 152,899,768,576/179,138
  6. Step 6: Final answer
    x = 853,530.62

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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.