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Finding the Third Proportional to 173,186 and 359,980

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Solution

The third proportional to 173,186 and 359,980 is: 748,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,186 : 359,980 = 359,980 : x
  2. Step 2: Convert to fraction form
    173,186/359,980 = 359,980/x
  3. Step 3: Cross multiply
    173,186x = 359,980 × 359,980
  4. Step 4: Simplify right side
    173,186x = 129,585,600,400
  5. Step 5: Solve for x
    x = 129,585,600,400/173,186
  6. Step 6: Final answer
    x = 748,245.24

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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.