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Finding the Third Proportional to 114,755 and 248,575

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Solution

The third proportional to 114,755 and 248,575 is: 538,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,755 : 248,575 = 248,575 : x
  2. Step 2: Convert to fraction form
    114,755/248,575 = 248,575/x
  3. Step 3: Cross multiply
    114,755x = 248,575 × 248,575
  4. Step 4: Simplify right side
    114,755x = 61,789,530,625
  5. Step 5: Solve for x
    x = 61,789,530,625/114,755
  6. Step 6: Final answer
    x = 538,447.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.