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Finding the Third Proportional to 169,015 and 367,226

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Solution

The third proportional to 169,015 and 367,226 is: 797,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,015 : 367,226 = 367,226 : x
  2. Step 2: Convert to fraction form
    169,015/367,226 = 367,226/x
  3. Step 3: Cross multiply
    169,015x = 367,226 × 367,226
  4. Step 4: Simplify right side
    169,015x = 134,854,935,076
  5. Step 5: Solve for x
    x = 134,854,935,076/169,015
  6. Step 6: Final answer
    x = 797,887.38

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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.