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Finding the Third Proportional to 105,728.25 and 246,708

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Solution

The third proportional to 105,728.25 and 246,708 is: 575,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,728.25 : 246,708 = 246,708 : x
  2. Step 2: Convert to fraction form
    105,728.25/246,708 = 246,708/x
  3. Step 3: Cross multiply
    105,728.25x = 246,708 × 246,708
  4. Step 4: Simplify right side
    105,728.25x = 60,864,837,264
  5. Step 5: Solve for x
    x = 60,864,837,264/105,728.25
  6. Step 6: Final answer
    x = 575,672.42

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.