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Finding the Third Proportional to 115,462 and 251,824

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Solution

The third proportional to 115,462 and 251,824 is: 549,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,462 : 251,824 = 251,824 : x
  2. Step 2: Convert to fraction form
    115,462/251,824 = 251,824/x
  3. Step 3: Cross multiply
    115,462x = 251,824 × 251,824
  4. Step 4: Simplify right side
    115,462x = 63,415,326,976
  5. Step 5: Solve for x
    x = 63,415,326,976/115,462
  6. Step 6: Final answer
    x = 549,231.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.