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Finding the Third Proportional to 185,265 and 398,619

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Solution

The third proportional to 185,265 and 398,619 is: 857,674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,265 : 398,619 = 398,619 : x
  2. Step 2: Convert to fraction form
    185,265/398,619 = 398,619/x
  3. Step 3: Cross multiply
    185,265x = 398,619 × 398,619
  4. Step 4: Simplify right side
    185,265x = 158,897,107,161
  5. Step 5: Solve for x
    x = 158,897,107,161/185,265
  6. Step 6: Final answer
    x = 857,674.72

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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.