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Finding the Third Proportional to 194,611 and 248,673

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Solution

The third proportional to 194,611 and 248,673 is: 317,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,611 : 248,673 = 248,673 : x
  2. Step 2: Convert to fraction form
    194,611/248,673 = 248,673/x
  3. Step 3: Cross multiply
    194,611x = 248,673 × 248,673
  4. Step 4: Simplify right side
    194,611x = 61,838,260,929
  5. Step 5: Solve for x
    x = 61,838,260,929/194,611
  6. Step 6: Final answer
    x = 317,753.16

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.