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Finding the Third Proportional to 175,327 and 248,086

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Solution

The third proportional to 175,327 and 248,086 is: 351,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,327 : 248,086 = 248,086 : x
  2. Step 2: Convert to fraction form
    175,327/248,086 = 248,086/x
  3. Step 3: Cross multiply
    175,327x = 248,086 × 248,086
  4. Step 4: Simplify right side
    175,327x = 61,546,663,396
  5. Step 5: Solve for x
    x = 61,546,663,396/175,327
  6. Step 6: Final answer
    x = 351,039.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.