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Finding the Third Proportional to 179,143 and 391,034

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Solution

The third proportional to 179,143 and 391,034 is: 853,550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,143 : 391,034 = 391,034 : x
  2. Step 2: Convert to fraction form
    179,143/391,034 = 391,034/x
  3. Step 3: Cross multiply
    179,143x = 391,034 × 391,034
  4. Step 4: Simplify right side
    179,143x = 152,907,589,156
  5. Step 5: Solve for x
    x = 152,907,589,156/179,143
  6. Step 6: Final answer
    x = 853,550.45

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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.