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Finding the Third Proportional to 169,155 and 367,467

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Solution

The third proportional to 169,155 and 367,467 is: 798,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,155 : 367,467 = 367,467 : x
  2. Step 2: Convert to fraction form
    169,155/367,467 = 367,467/x
  3. Step 3: Cross multiply
    169,155x = 367,467 × 367,467
  4. Step 4: Simplify right side
    169,155x = 135,031,996,089
  5. Step 5: Solve for x
    x = 135,031,996,089/169,155
  6. Step 6: Final answer
    x = 798,273.75

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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.