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Finding the Third Proportional to 185,150 and 398,426

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Solution

The third proportional to 185,150 and 398,426 is: 857,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,150 : 398,426 = 398,426 : x
  2. Step 2: Convert to fraction form
    185,150/398,426 = 398,426/x
  3. Step 3: Cross multiply
    185,150x = 398,426 × 398,426
  4. Step 4: Simplify right side
    185,150x = 158,743,277,476
  5. Step 5: Solve for x
    x = 158,743,277,476/185,150
  6. Step 6: Final answer
    x = 857,376.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.