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Finding the Third Proportional to 232,910.44 and 352,858.78

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Solution

The third proportional to 232,910.44 and 352,858.78 is: 534,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,910.44 : 352,858.78 = 352,858.78 : x
  2. Step 2: Convert to fraction form
    232,910.44/352,858.78 = 352,858.78/x
  3. Step 3: Cross multiply
    232,910.44x = 352,858.78 × 352,858.78
  4. Step 4: Simplify right side
    232,910.44x = 124,509,319,505.24
  5. Step 5: Solve for x
    x = 124,509,319,505.24/232,910.44
  6. Step 6: Final answer
    x = 534,580.25

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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.