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Finding the Third Proportional to 124,816 and 274,580

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Solution

The third proportional to 124,816 and 274,580 is: 604,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,816 : 274,580 = 274,580 : x
  2. Step 2: Convert to fraction form
    124,816/274,580 = 274,580/x
  3. Step 3: Cross multiply
    124,816x = 274,580 × 274,580
  4. Step 4: Simplify right side
    124,816x = 75,394,176,400
  5. Step 5: Solve for x
    x = 75,394,176,400/124,816
  6. Step 6: Final answer
    x = 604,042.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.