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Finding the Third Proportional to 163,600 and 230,328

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Solution

The third proportional to 163,600 and 230,328 is: 324,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,600 : 230,328 = 230,328 : x
  2. Step 2: Convert to fraction form
    163,600/230,328 = 230,328/x
  3. Step 3: Cross multiply
    163,600x = 230,328 × 230,328
  4. Step 4: Simplify right side
    163,600x = 53,050,987,584
  5. Step 5: Solve for x
    x = 53,050,987,584/163,600
  6. Step 6: Final answer
    x = 324,272.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.