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Finding the Third Proportional to 167,415.38 and 395,132.81

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Solution

The third proportional to 167,415.38 and 395,132.81 is: 932,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,415.38 : 395,132.81 = 395,132.81 : x
  2. Step 2: Convert to fraction form
    167,415.38/395,132.81 = 395,132.81/x
  3. Step 3: Cross multiply
    167,415.38x = 395,132.81 × 395,132.81
  4. Step 4: Simplify right side
    167,415.38x = 156,129,939,514.16
  5. Step 5: Solve for x
    x = 156,129,939,514.16/167,415.38
  6. Step 6: Final answer
    x = 932,590.21

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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.