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Finding the Third Proportional to 248,942 and 377,173

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Solution

The third proportional to 248,942 and 377,173 is: 571,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,942 : 377,173 = 377,173 : x
  2. Step 2: Convert to fraction form
    248,942/377,173 = 377,173/x
  3. Step 3: Cross multiply
    248,942x = 377,173 × 377,173
  4. Step 4: Simplify right side
    248,942x = 142,259,471,929
  5. Step 5: Solve for x
    x = 142,259,471,929/248,942
  6. Step 6: Final answer
    x = 571,456.29

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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.