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Finding the Third Proportional to 251,042.25 and 382,445.69

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Solution

The third proportional to 251,042.25 and 382,445.69 is: 582,629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,042.25 : 382,445.69 = 382,445.69 : x
  2. Step 2: Convert to fraction form
    251,042.25/382,445.69 = 382,445.69/x
  3. Step 3: Cross multiply
    251,042.25x = 382,445.69 × 382,445.69
  4. Step 4: Simplify right side
    251,042.25x = 146,264,703,887.35
  5. Step 5: Solve for x
    x = 146,264,703,887.35/251,042.25
  6. Step 6: Final answer
    x = 582,629.83

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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.