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Finding the Third Proportional to 169,729.88 and 367,023.75

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Solution

The third proportional to 169,729.88 and 367,023.75 is: 793,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,729.88 : 367,023.75 = 367,023.75 : x
  2. Step 2: Convert to fraction form
    169,729.88/367,023.75 = 367,023.75/x
  3. Step 3: Cross multiply
    169,729.88x = 367,023.75 × 367,023.75
  4. Step 4: Simplify right side
    169,729.88x = 134,706,433,064.06
  5. Step 5: Solve for x
    x = 134,706,433,064.06/169,729.88
  6. Step 6: Final answer
    x = 793,651.87

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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.