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Finding the Third Proportional to 175,278.50 and 381,266

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Solution

The third proportional to 175,278.50 and 381,266 is: 829,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,278.50 : 381,266 = 381,266 : x
  2. Step 2: Convert to fraction form
    175,278.50/381,266 = 381,266/x
  3. Step 3: Cross multiply
    175,278.50x = 381,266 × 381,266
  4. Step 4: Simplify right side
    175,278.50x = 145,363,762,756
  5. Step 5: Solve for x
    x = 145,363,762,756/175,278.50
  6. Step 6: Final answer
    x = 829,330.25

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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.