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Finding the Third Proportional to 255,969 and 352,848

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Solution

The third proportional to 255,969 and 352,848 is: 486,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,969 : 352,848 = 352,848 : x
  2. Step 2: Convert to fraction form
    255,969/352,848 = 352,848/x
  3. Step 3: Cross multiply
    255,969x = 352,848 × 352,848
  4. Step 4: Simplify right side
    255,969x = 124,501,711,104
  5. Step 5: Solve for x
    x = 124,501,711,104/255,969
  6. Step 6: Final answer
    x = 486,393.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.