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Finding the Third Proportional to 169,011 and 367,218

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Solution

The third proportional to 169,011 and 367,218 is: 797,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,011 : 367,218 = 367,218 : x
  2. Step 2: Convert to fraction form
    169,011/367,218 = 367,218/x
  3. Step 3: Cross multiply
    169,011x = 367,218 × 367,218
  4. Step 4: Simplify right side
    169,011x = 134,849,059,524
  5. Step 5: Solve for x
    x = 134,849,059,524/169,011
  6. Step 6: Final answer
    x = 797,871.50

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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.