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Finding the Third Proportional to 183,174.75 and 262,458

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Solution

The third proportional to 183,174.75 and 262,458 is: 376,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,174.75 : 262,458 = 262,458 : x
  2. Step 2: Convert to fraction form
    183,174.75/262,458 = 262,458/x
  3. Step 3: Cross multiply
    183,174.75x = 262,458 × 262,458
  4. Step 4: Simplify right side
    183,174.75x = 68,884,201,764
  5. Step 5: Solve for x
    x = 68,884,201,764/183,174.75
  6. Step 6: Final answer
    x = 376,057.30

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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.