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Finding the Third Proportional to 175,218 and 381,750

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Solution

The third proportional to 175,218 and 381,750 is: 831,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,218 : 381,750 = 381,750 : x
  2. Step 2: Convert to fraction form
    175,218/381,750 = 381,750/x
  3. Step 3: Cross multiply
    175,218x = 381,750 × 381,750
  4. Step 4: Simplify right side
    175,218x = 145,733,062,500
  5. Step 5: Solve for x
    x = 145,733,062,500/175,218
  6. Step 6: Final answer
    x = 831,724.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.