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Finding the Third Proportional to 163,552.50 and 352,161

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Solution

The third proportional to 163,552.50 and 352,161 is: 758,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,552.50 : 352,161 = 352,161 : x
  2. Step 2: Convert to fraction form
    163,552.50/352,161 = 352,161/x
  3. Step 3: Cross multiply
    163,552.50x = 352,161 × 352,161
  4. Step 4: Simplify right side
    163,552.50x = 124,017,369,921
  5. Step 5: Solve for x
    x = 124,017,369,921/163,552.50
  6. Step 6: Final answer
    x = 758,272.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.