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Finding the Third Proportional to 167,415.50 and 395,132.50

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Solution

The third proportional to 167,415.50 and 395,132.50 is: 932,588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,415.50 : 395,132.50 = 395,132.50 : x
  2. Step 2: Convert to fraction form
    167,415.50/395,132.50 = 395,132.50/x
  3. Step 3: Cross multiply
    167,415.50x = 395,132.50 × 395,132.50
  4. Step 4: Simplify right side
    167,415.50x = 156,129,692,556.25
  5. Step 5: Solve for x
    x = 156,129,692,556.25/167,415.50
  6. Step 6: Final answer
    x = 932,588.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.