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Finding the Third Proportional to 183,414 and 263,445

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Solution

The third proportional to 183,414 and 263,445 is: 378,396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,414 : 263,445 = 263,445 : x
  2. Step 2: Convert to fraction form
    183,414/263,445 = 263,445/x
  3. Step 3: Cross multiply
    183,414x = 263,445 × 263,445
  4. Step 4: Simplify right side
    183,414x = 69,403,268,025
  5. Step 5: Solve for x
    x = 69,403,268,025/183,414
  6. Step 6: Final answer
    x = 378,396.79

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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.