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Finding the Third Proportional to 233,867.25 and 352,917

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Solution

The third proportional to 233,867.25 and 352,917 is: 532,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,867.25 : 352,917 = 352,917 : x
  2. Step 2: Convert to fraction form
    233,867.25/352,917 = 352,917/x
  3. Step 3: Cross multiply
    233,867.25x = 352,917 × 352,917
  4. Step 4: Simplify right side
    233,867.25x = 124,550,408,889
  5. Step 5: Solve for x
    x = 124,550,408,889/233,867.25
  6. Step 6: Final answer
    x = 532,568.84

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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.