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Finding the Third Proportional to 79,265 and 173,232

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Solution

The third proportional to 79,265 and 173,232 is: 378,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,265 : 173,232 = 173,232 : x
  2. Step 2: Convert to fraction form
    79,265/173,232 = 173,232/x
  3. Step 3: Cross multiply
    79,265x = 173,232 × 173,232
  4. Step 4: Simplify right side
    79,265x = 30,009,325,824
  5. Step 5: Solve for x
    x = 30,009,325,824/79,265
  6. Step 6: Final answer
    x = 378,594.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.