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Finding the Third Proportional to 185,206 and 398,024

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Solution

The third proportional to 185,206 and 398,024 is: 855,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,206 : 398,024 = 398,024 : x
  2. Step 2: Convert to fraction form
    185,206/398,024 = 398,024/x
  3. Step 3: Cross multiply
    185,206x = 398,024 × 398,024
  4. Step 4: Simplify right side
    185,206x = 158,423,104,576
  5. Step 5: Solve for x
    x = 158,423,104,576/185,206
  6. Step 6: Final answer
    x = 855,388.62

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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.