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Finding the Third Proportional to 173,594 and 380,425

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Solution

The third proportional to 173,594 and 380,425 is: 833,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,594 : 380,425 = 380,425 : x
  2. Step 2: Convert to fraction form
    173,594/380,425 = 380,425/x
  3. Step 3: Cross multiply
    173,594x = 380,425 × 380,425
  4. Step 4: Simplify right side
    173,594x = 144,723,180,625
  5. Step 5: Solve for x
    x = 144,723,180,625/173,594
  6. Step 6: Final answer
    x = 833,687.69

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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.