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Finding the Third Proportional to 185,038 and 396,310

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Solution

The third proportional to 185,038 and 396,310 is: 848,807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,038 : 396,310 = 396,310 : x
  2. Step 2: Convert to fraction form
    185,038/396,310 = 396,310/x
  3. Step 3: Cross multiply
    185,038x = 396,310 × 396,310
  4. Step 4: Simplify right side
    185,038x = 157,061,616,100
  5. Step 5: Solve for x
    x = 157,061,616,100/185,038
  6. Step 6: Final answer
    x = 848,807.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.