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Finding the Third Proportional to 173,727 and 365,679

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Solution

The third proportional to 173,727 and 365,679 is: 769,719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,727 : 365,679 = 365,679 : x
  2. Step 2: Convert to fraction form
    173,727/365,679 = 365,679/x
  3. Step 3: Cross multiply
    173,727x = 365,679 × 365,679
  4. Step 4: Simplify right side
    173,727x = 133,721,131,041
  5. Step 5: Solve for x
    x = 133,721,131,041/173,727
  6. Step 6: Final answer
    x = 769,719.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.