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Finding the Third Proportional to 251,853.75 and 380,207.25

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Solution

The third proportional to 251,853.75 and 380,207.25 is: 573,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,853.75 : 380,207.25 = 380,207.25 : x
  2. Step 2: Convert to fraction form
    251,853.75/380,207.25 = 380,207.25/x
  3. Step 3: Cross multiply
    251,853.75x = 380,207.25 × 380,207.25
  4. Step 4: Simplify right side
    251,853.75x = 144,557,552,952.56
  5. Step 5: Solve for x
    x = 144,557,552,952.56/251,853.75
  6. Step 6: Final answer
    x = 573,974.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.