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Finding the Third Proportional to 263,260.13 and 376,186.78

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Solution

The third proportional to 263,260.13 and 376,186.78 is: 537,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,260.13 : 376,186.78 = 376,186.78 : x
  2. Step 2: Convert to fraction form
    263,260.13/376,186.78 = 376,186.78/x
  3. Step 3: Cross multiply
    263,260.13x = 376,186.78 × 376,186.78
  4. Step 4: Simplify right side
    263,260.13x = 141,516,494,387.24
  5. Step 5: Solve for x
    x = 141,516,494,387.24/263,260.13
  6. Step 6: Final answer
    x = 537,553.85

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