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Finding the Third Proportional to 163,837.69 and 248,293.69

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Solution

The third proportional to 163,837.69 and 248,293.69 is: 376,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,837.69 : 248,293.69 = 248,293.69 : x
  2. Step 2: Convert to fraction form
    163,837.69/248,293.69 = 248,293.69/x
  3. Step 3: Cross multiply
    163,837.69x = 248,293.69 × 248,293.69
  4. Step 4: Simplify right side
    163,837.69x = 61,649,755,252.35
  5. Step 5: Solve for x
    x = 61,649,755,252.35/163,837.69
  6. Step 6: Final answer
    x = 376,285.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.