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Finding the Third Proportional to 171,946 and 364,772

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Solution

The third proportional to 171,946 and 364,772 is: 773,839.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,946 : 364,772 = 364,772 : x
  2. Step 2: Convert to fraction form
    171,946/364,772 = 364,772/x
  3. Step 3: Cross multiply
    171,946x = 364,772 × 364,772
  4. Step 4: Simplify right side
    171,946x = 133,058,611,984
  5. Step 5: Solve for x
    x = 133,058,611,984/171,946
  6. Step 6: Final answer
    x = 773,839.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.