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Finding the Third Proportional to 93,249 and 203,575

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Solution

The third proportional to 93,249 and 203,575 is: 444,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,249 : 203,575 = 203,575 : x
  2. Step 2: Convert to fraction form
    93,249/203,575 = 203,575/x
  3. Step 3: Cross multiply
    93,249x = 203,575 × 203,575
  4. Step 4: Simplify right side
    93,249x = 41,442,780,625
  5. Step 5: Solve for x
    x = 41,442,780,625/93,249
  6. Step 6: Final answer
    x = 444,431.37

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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.