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Finding the Third Proportional to 185,880 and 395,724

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Solution

The third proportional to 185,880 and 395,724 is: 842,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,880 : 395,724 = 395,724 : x
  2. Step 2: Convert to fraction form
    185,880/395,724 = 395,724/x
  3. Step 3: Cross multiply
    185,880x = 395,724 × 395,724
  4. Step 4: Simplify right side
    185,880x = 156,597,484,176
  5. Step 5: Solve for x
    x = 156,597,484,176/185,880
  6. Step 6: Final answer
    x = 842,465.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.