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Finding the Third Proportional to 155,668 and 241,494

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Solution

The third proportional to 155,668 and 241,494 is: 374,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,668 : 241,494 = 241,494 : x
  2. Step 2: Convert to fraction form
    155,668/241,494 = 241,494/x
  3. Step 3: Cross multiply
    155,668x = 241,494 × 241,494
  4. Step 4: Simplify right side
    155,668x = 58,319,352,036
  5. Step 5: Solve for x
    x = 58,319,352,036/155,668
  6. Step 6: Final answer
    x = 374,639.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.