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Finding the Third Proportional to 251,010.50 and 382,399

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Solution

The third proportional to 251,010.50 and 382,399 is: 582,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,010.50 : 382,399 = 382,399 : x
  2. Step 2: Convert to fraction form
    251,010.50/382,399 = 382,399/x
  3. Step 3: Cross multiply
    251,010.50x = 382,399 × 382,399
  4. Step 4: Simplify right side
    251,010.50x = 146,228,995,201
  5. Step 5: Solve for x
    x = 146,228,995,201/251,010.50
  6. Step 6: Final answer
    x = 582,561.27

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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.