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Finding the Third Proportional to 173,268 and 379,624

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Solution

The third proportional to 173,268 and 379,624 is: 831,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,268 : 379,624 = 379,624 : x
  2. Step 2: Convert to fraction form
    173,268/379,624 = 379,624/x
  3. Step 3: Cross multiply
    173,268x = 379,624 × 379,624
  4. Step 4: Simplify right side
    173,268x = 144,114,381,376
  5. Step 5: Solve for x
    x = 144,114,381,376/173,268
  6. Step 6: Final answer
    x = 831,742.63

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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.