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Finding the Third Proportional to 169,133.25 and 367,425.75

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Solution

The third proportional to 169,133.25 and 367,425.75 is: 798,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,133.25 : 367,425.75 = 367,425.75 : x
  2. Step 2: Convert to fraction form
    169,133.25/367,425.75 = 367,425.75/x
  3. Step 3: Cross multiply
    169,133.25x = 367,425.75 × 367,425.75
  4. Step 4: Simplify right side
    169,133.25x = 135,001,681,763.06
  5. Step 5: Solve for x
    x = 135,001,681,763.06/169,133.25
  6. Step 6: Final answer
    x = 798,197.17

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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.