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Finding the Third Proportional to 169,254 and 367,644

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Solution

The third proportional to 169,254 and 367,644 is: 798,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,254 : 367,644 = 367,644 : x
  2. Step 2: Convert to fraction form
    169,254/367,644 = 367,644/x
  3. Step 3: Cross multiply
    169,254x = 367,644 × 367,644
  4. Step 4: Simplify right side
    169,254x = 135,162,110,736
  5. Step 5: Solve for x
    x = 135,162,110,736/169,254
  6. Step 6: Final answer
    x = 798,575.58

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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.