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Finding the Third Proportional to 175,337 and 248,098

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Solution

The third proportional to 175,337 and 248,098 is: 351,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,337 : 248,098 = 248,098 : x
  2. Step 2: Convert to fraction form
    175,337/248,098 = 248,098/x
  3. Step 3: Cross multiply
    175,337x = 248,098 × 248,098
  4. Step 4: Simplify right side
    175,337x = 61,552,617,604
  5. Step 5: Solve for x
    x = 61,552,617,604/175,337
  6. Step 6: Final answer
    x = 351,053.22

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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.