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Finding the Third Proportional to 251,008.88 and 382,394.25

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Solution

The third proportional to 251,008.88 and 382,394.25 is: 582,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,008.88 : 382,394.25 = 382,394.25 : x
  2. Step 2: Convert to fraction form
    251,008.88/382,394.25 = 382,394.25/x
  3. Step 3: Cross multiply
    251,008.88x = 382,394.25 × 382,394.25
  4. Step 4: Simplify right side
    251,008.88x = 146,225,362,433.06
  5. Step 5: Solve for x
    x = 146,225,362,433.06/251,008.88
  6. Step 6: Final answer
    x = 582,550.57

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