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Finding the Third Proportional to 185,052 and 398,169

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Solution

The third proportional to 185,052 and 398,169 is: 856,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,052 : 398,169 = 398,169 : x
  2. Step 2: Convert to fraction form
    185,052/398,169 = 398,169/x
  3. Step 3: Cross multiply
    185,052x = 398,169 × 398,169
  4. Step 4: Simplify right side
    185,052x = 158,538,552,561
  5. Step 5: Solve for x
    x = 158,538,552,561/185,052
  6. Step 6: Final answer
    x = 856,724.34

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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.