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Finding the Third Proportional to 251,008.75 and 382,396.13

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Solution

The third proportional to 251,008.75 and 382,396.13 is: 582,556.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,008.75 : 382,396.13 = 382,396.13 : x
  2. Step 2: Convert to fraction form
    251,008.75/382,396.13 = 382,396.13/x
  3. Step 3: Cross multiply
    251,008.75x = 382,396.13 × 382,396.13
  4. Step 4: Simplify right side
    251,008.75x = 146,226,796,415.02
  5. Step 5: Solve for x
    x = 146,226,796,415.02/251,008.75
  6. Step 6: Final answer
    x = 582,556.57

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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.