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Finding the Third Proportional to 250,983.28 and 382,356.28

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Solution

The third proportional to 250,983.28 and 382,356.28 is: 582,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,983.28 : 382,356.28 = 382,356.28 : x
  2. Step 2: Convert to fraction form
    250,983.28/382,356.28 = 382,356.28/x
  3. Step 3: Cross multiply
    250,983.28x = 382,356.28 × 382,356.28
  4. Step 4: Simplify right side
    250,983.28x = 146,196,325,811.33
  5. Step 5: Solve for x
    x = 146,196,325,811.33/250,983.28
  6. Step 6: Final answer
    x = 582,494.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.