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Finding the Third Proportional to 173,577 and 360,975

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Solution

The third proportional to 173,577 and 360,975 is: 750,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,577 : 360,975 = 360,975 : x
  2. Step 2: Convert to fraction form
    173,577/360,975 = 360,975/x
  3. Step 3: Cross multiply
    173,577x = 360,975 × 360,975
  4. Step 4: Simplify right side
    173,577x = 130,302,950,625
  5. Step 5: Solve for x
    x = 130,302,950,625/173,577
  6. Step 6: Final answer
    x = 750,692.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.