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Finding the Third Proportional to 173,130 and 380,244

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Solution

The third proportional to 173,130 and 380,244 is: 835,126.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,130 : 380,244 = 380,244 : x
  2. Step 2: Convert to fraction form
    173,130/380,244 = 380,244/x
  3. Step 3: Cross multiply
    173,130x = 380,244 × 380,244
  4. Step 4: Simplify right side
    173,130x = 144,585,499,536
  5. Step 5: Solve for x
    x = 144,585,499,536/173,130
  6. Step 6: Final answer
    x = 835,126.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.