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Finding the Third Proportional to 180,858 and 392,852

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Solution

The third proportional to 180,858 and 392,852 is: 853,336.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,858 : 392,852 = 392,852 : x
  2. Step 2: Convert to fraction form
    180,858/392,852 = 392,852/x
  3. Step 3: Cross multiply
    180,858x = 392,852 × 392,852
  4. Step 4: Simplify right side
    180,858x = 154,332,693,904
  5. Step 5: Solve for x
    x = 154,332,693,904/180,858
  6. Step 6: Final answer
    x = 853,336.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.