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Finding the Third Proportional to 236,469.38 and 367,142.63

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Solution

The third proportional to 236,469.38 and 367,142.63 is: 570,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,469.38 : 367,142.63 = 367,142.63 : x
  2. Step 2: Convert to fraction form
    236,469.38/367,142.63 = 367,142.63/x
  3. Step 3: Cross multiply
    236,469.38x = 367,142.63 × 367,142.63
  4. Step 4: Simplify right side
    236,469.38x = 134,793,707,091.89
  5. Step 5: Solve for x
    x = 134,793,707,091.89/236,469.38
  6. Step 6: Final answer
    x = 570,026.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.