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Finding the Third Proportional to 180,096 and 391,904

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Solution

The third proportional to 180,096 and 391,904 is: 852,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,096 : 391,904 = 391,904 : x
  2. Step 2: Convert to fraction form
    180,096/391,904 = 391,904/x
  3. Step 3: Cross multiply
    180,096x = 391,904 × 391,904
  4. Step 4: Simplify right side
    180,096x = 153,588,745,216
  5. Step 5: Solve for x
    x = 153,588,745,216/180,096
  6. Step 6: Final answer
    x = 852,815.97

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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.