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Finding the Third Proportional to 255,747.75 and 372,377.25

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Solution

The third proportional to 255,747.75 and 372,377.25 is: 542,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,747.75 : 372,377.25 = 372,377.25 : x
  2. Step 2: Convert to fraction form
    255,747.75/372,377.25 = 372,377.25/x
  3. Step 3: Cross multiply
    255,747.75x = 372,377.25 × 372,377.25
  4. Step 4: Simplify right side
    255,747.75x = 138,664,816,317.56
  5. Step 5: Solve for x
    x = 138,664,816,317.56/255,747.75
  6. Step 6: Final answer
    x = 542,193.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.