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Finding the Third Proportional to 180,068 and 391,846

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Solution

The third proportional to 180,068 and 391,846 is: 852,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,068 : 391,846 = 391,846 : x
  2. Step 2: Convert to fraction form
    180,068/391,846 = 391,846/x
  3. Step 3: Cross multiply
    180,068x = 391,846 × 391,846
  4. Step 4: Simplify right side
    180,068x = 153,543,287,716
  5. Step 5: Solve for x
    x = 153,543,287,716/180,068
  6. Step 6: Final answer
    x = 852,696.14

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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.