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Finding the Third Proportional to 183,744 and 258,732

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Solution

The third proportional to 183,744 and 258,732 is: 364,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,744 : 258,732 = 258,732 : x
  2. Step 2: Convert to fraction form
    183,744/258,732 = 258,732/x
  3. Step 3: Cross multiply
    183,744x = 258,732 × 258,732
  4. Step 4: Simplify right side
    183,744x = 66,942,247,824
  5. Step 5: Solve for x
    x = 66,942,247,824/183,744
  6. Step 6: Final answer
    x = 364,323.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.