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Finding the Third Proportional to 263,206 and 375,124

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Solution

The third proportional to 263,206 and 375,124 is: 534,630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,206 : 375,124 = 375,124 : x
  2. Step 2: Convert to fraction form
    263,206/375,124 = 375,124/x
  3. Step 3: Cross multiply
    263,206x = 375,124 × 375,124
  4. Step 4: Simplify right side
    263,206x = 140,718,015,376
  5. Step 5: Solve for x
    x = 140,718,015,376/263,206
  6. Step 6: Final answer
    x = 534,630.73

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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.