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Finding the Third Proportional to 114,016 and 245,542

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Solution

The third proportional to 114,016 and 245,542 is: 528,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,016 : 245,542 = 245,542 : x
  2. Step 2: Convert to fraction form
    114,016/245,542 = 245,542/x
  3. Step 3: Cross multiply
    114,016x = 245,542 × 245,542
  4. Step 4: Simplify right side
    114,016x = 60,290,873,764
  5. Step 5: Solve for x
    x = 60,290,873,764/114,016
  6. Step 6: Final answer
    x = 528,793.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.