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Finding the Third Proportional to 263,234 and 375,163

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Solution

The third proportional to 263,234 and 375,163 is: 534,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,234 : 375,163 = 375,163 : x
  2. Step 2: Convert to fraction form
    263,234/375,163 = 375,163/x
  3. Step 3: Cross multiply
    263,234x = 375,163 × 375,163
  4. Step 4: Simplify right side
    263,234x = 140,747,276,569
  5. Step 5: Solve for x
    x = 140,747,276,569/263,234
  6. Step 6: Final answer
    x = 534,685.02

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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.