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Finding the Third Proportional to 183,426 and 263,463

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Solution

The third proportional to 183,426 and 263,463 is: 378,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,426 : 263,463 = 263,463 : x
  2. Step 2: Convert to fraction form
    183,426/263,463 = 263,463/x
  3. Step 3: Cross multiply
    183,426x = 263,463 × 263,463
  4. Step 4: Simplify right side
    183,426x = 69,412,752,369
  5. Step 5: Solve for x
    x = 69,412,752,369/183,426
  6. Step 6: Final answer
    x = 378,423.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.