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Finding the Third Proportional to 169,530.75 and 248,213.25

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Solution

The third proportional to 169,530.75 and 248,213.25 is: 363,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,530.75 : 248,213.25 = 248,213.25 : x
  2. Step 2: Convert to fraction form
    169,530.75/248,213.25 = 248,213.25/x
  3. Step 3: Cross multiply
    169,530.75x = 248,213.25 × 248,213.25
  4. Step 4: Simplify right side
    169,530.75x = 61,609,817,475.56
  5. Step 5: Solve for x
    x = 61,609,817,475.56/169,530.75
  6. Step 6: Final answer
    x = 363,413.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.