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Finding the Third Proportional to 263,174.70 and 376,351.95

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Solution

The third proportional to 263,174.70 and 376,351.95 is: 538,200.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,174.70 : 376,351.95 = 376,351.95 : x
  2. Step 2: Convert to fraction form
    263,174.70/376,351.95 = 376,351.95/x
  3. Step 3: Cross multiply
    263,174.70x = 376,351.95 × 376,351.95
  4. Step 4: Simplify right side
    263,174.70x = 141,640,786,740.50
  5. Step 5: Solve for x
    x = 141,640,786,740.50/263,174.70
  6. Step 6: Final answer
    x = 538,200.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.