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Finding the Third Proportional to 185,040 and 396,351

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Solution

The third proportional to 185,040 and 396,351 is: 848,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,040 : 396,351 = 396,351 : x
  2. Step 2: Convert to fraction form
    185,040/396,351 = 396,351/x
  3. Step 3: Cross multiply
    185,040x = 396,351 × 396,351
  4. Step 4: Simplify right side
    185,040x = 157,094,115,201
  5. Step 5: Solve for x
    x = 157,094,115,201/185,040
  6. Step 6: Final answer
    x = 848,973.82

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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.