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Finding the Third Proportional to 172,349 and 248,233

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Solution

The third proportional to 172,349 and 248,233 is: 357,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,349 : 248,233 = 248,233 : x
  2. Step 2: Convert to fraction form
    172,349/248,233 = 248,233/x
  3. Step 3: Cross multiply
    172,349x = 248,233 × 248,233
  4. Step 4: Simplify right side
    172,349x = 61,619,622,289
  5. Step 5: Solve for x
    x = 61,619,622,289/172,349
  6. Step 6: Final answer
    x = 357,528.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.