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Finding the Third Proportional to 169,435.75 and 352,917

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Solution

The third proportional to 169,435.75 and 352,917 is: 735,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,435.75 : 352,917 = 352,917 : x
  2. Step 2: Convert to fraction form
    169,435.75/352,917 = 352,917/x
  3. Step 3: Cross multiply
    169,435.75x = 352,917 × 352,917
  4. Step 4: Simplify right side
    169,435.75x = 124,550,408,889
  5. Step 5: Solve for x
    x = 124,550,408,889/169,435.75
  6. Step 6: Final answer
    x = 735,089.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.