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Finding the Third Proportional to 179,766 and 391,706

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Solution

The third proportional to 179,766 and 391,706 is: 853,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,766 : 391,706 = 391,706 : x
  2. Step 2: Convert to fraction form
    179,766/391,706 = 391,706/x
  3. Step 3: Cross multiply
    179,766x = 391,706 × 391,706
  4. Step 4: Simplify right side
    179,766x = 153,433,590,436
  5. Step 5: Solve for x
    x = 153,433,590,436/179,766
  6. Step 6: Final answer
    x = 853,518.41

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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.