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Finding the Third Proportional to 169,011 and 259,805.25

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Solution

The third proportional to 169,011 and 259,805.25 is: 399,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,011 : 259,805.25 = 259,805.25 : x
  2. Step 2: Convert to fraction form
    169,011/259,805.25 = 259,805.25/x
  3. Step 3: Cross multiply
    169,011x = 259,805.25 × 259,805.25
  4. Step 4: Simplify right side
    169,011x = 67,498,767,927.56
  5. Step 5: Solve for x
    x = 67,498,767,927.56/169,011
  6. Step 6: Final answer
    x = 399,375.00

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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.