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Finding the Third Proportional to 183,474 and 258,370.88

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Solution

The third proportional to 183,474 and 258,370.88 is: 363,841.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,474 : 258,370.88 = 258,370.88 : x
  2. Step 2: Convert to fraction form
    183,474/258,370.88 = 258,370.88/x
  3. Step 3: Cross multiply
    183,474x = 258,370.88 × 258,370.88
  4. Step 4: Simplify right side
    183,474x = 66,755,509,048.27
  5. Step 5: Solve for x
    x = 66,755,509,048.27/183,474
  6. Step 6: Final answer
    x = 363,841.79

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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.