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Finding the Third Proportional to 251,008 and 382,392.75

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Solution

The third proportional to 251,008 and 382,392.75 is: 582,548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,008 : 382,392.75 = 382,392.75 : x
  2. Step 2: Convert to fraction form
    251,008/382,392.75 = 382,392.75/x
  3. Step 3: Cross multiply
    251,008x = 382,392.75 × 382,392.75
  4. Step 4: Simplify right side
    251,008x = 146,224,215,252.56
  5. Step 5: Solve for x
    x = 146,224,215,252.56/251,008
  6. Step 6: Final answer
    x = 582,548.03

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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.