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Finding the Third Proportional to 173,753 and 380,725

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Solution

The third proportional to 173,753 and 380,725 is: 834,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,753 : 380,725 = 380,725 : x
  2. Step 2: Convert to fraction form
    173,753/380,725 = 380,725/x
  3. Step 3: Cross multiply
    173,753x = 380,725 × 380,725
  4. Step 4: Simplify right side
    173,753x = 144,951,525,625
  5. Step 5: Solve for x
    x = 144,951,525,625/173,753
  6. Step 6: Final answer
    x = 834,238.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.