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Finding the Third Proportional to 169,268 and 361,864

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Solution

The third proportional to 169,268 and 361,864 is: 773,598.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,268 : 361,864 = 361,864 : x
  2. Step 2: Convert to fraction form
    169,268/361,864 = 361,864/x
  3. Step 3: Cross multiply
    169,268x = 361,864 × 361,864
  4. Step 4: Simplify right side
    169,268x = 130,945,554,496
  5. Step 5: Solve for x
    x = 130,945,554,496/169,268
  6. Step 6: Final answer
    x = 773,598.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.