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Finding the Third Proportional to 169,242 and 360,218

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Solution

The third proportional to 169,242 and 360,218 is: 766,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,242 : 360,218 = 360,218 : x
  2. Step 2: Convert to fraction form
    169,242/360,218 = 360,218/x
  3. Step 3: Cross multiply
    169,242x = 360,218 × 360,218
  4. Step 4: Simplify right side
    169,242x = 129,757,007,524
  5. Step 5: Solve for x
    x = 129,757,007,524/169,242
  6. Step 6: Final answer
    x = 766,695.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.