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Finding the Third Proportional to 78,353.44 and 169,175.25

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Solution

The third proportional to 78,353.44 and 169,175.25 is: 365,271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,353.44 : 169,175.25 = 169,175.25 : x
  2. Step 2: Convert to fraction form
    78,353.44/169,175.25 = 169,175.25/x
  3. Step 3: Cross multiply
    78,353.44x = 169,175.25 × 169,175.25
  4. Step 4: Simplify right side
    78,353.44x = 28,620,265,212.56
  5. Step 5: Solve for x
    x = 28,620,265,212.56/78,353.44
  6. Step 6: Final answer
    x = 365,271.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.