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Finding the Third Proportional to 251,014.50 and 382,403.25

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Solution

The third proportional to 251,014.50 and 382,403.25 is: 582,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,014.50 : 382,403.25 = 382,403.25 : x
  2. Step 2: Convert to fraction form
    251,014.50/382,403.25 = 382,403.25/x
  3. Step 3: Cross multiply
    251,014.50x = 382,403.25 × 382,403.25
  4. Step 4: Simplify right side
    251,014.50x = 146,232,245,610.56
  5. Step 5: Solve for x
    x = 146,232,245,610.56/251,014.50
  6. Step 6: Final answer
    x = 582,564.93

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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.