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Finding the Third Proportional to 169,013 and 259,808

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Solution

The third proportional to 169,013 and 259,808 is: 399,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,013 : 259,808 = 259,808 : x
  2. Step 2: Convert to fraction form
    169,013/259,808 = 259,808/x
  3. Step 3: Cross multiply
    169,013x = 259,808 × 259,808
  4. Step 4: Simplify right side
    169,013x = 67,500,196,864
  5. Step 5: Solve for x
    x = 67,500,196,864/169,013
  6. Step 6: Final answer
    x = 399,378.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.