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Finding the Third Proportional to 255,744 and 382,848

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Solution

The third proportional to 255,744 and 382,848 is: 573,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,744 : 382,848 = 382,848 : x
  2. Step 2: Convert to fraction form
    255,744/382,848 = 382,848/x
  3. Step 3: Cross multiply
    255,744x = 382,848 × 382,848
  4. Step 4: Simplify right side
    255,744x = 146,572,591,104
  5. Step 5: Solve for x
    x = 146,572,591,104/255,744
  6. Step 6: Final answer
    x = 573,122.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.