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Finding the Third Proportional to 167,633.72 and 363,651.19

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Solution

The third proportional to 167,633.72 and 363,651.19 is: 788,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,633.72 : 363,651.19 = 363,651.19 : x
  2. Step 2: Convert to fraction form
    167,633.72/363,651.19 = 363,651.19/x
  3. Step 3: Cross multiply
    167,633.72x = 363,651.19 × 363,651.19
  4. Step 4: Simplify right side
    167,633.72x = 132,242,186,170.16
  5. Step 5: Solve for x
    x = 132,242,186,170.16/167,633.72
  6. Step 6: Final answer
    x = 788,875.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.