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Finding the Third Proportional to 114,540 and 246,030

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Solution

The third proportional to 114,540 and 246,030 is: 528,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,540 : 246,030 = 246,030 : x
  2. Step 2: Convert to fraction form
    114,540/246,030 = 246,030/x
  3. Step 3: Cross multiply
    114,540x = 246,030 × 246,030
  4. Step 4: Simplify right side
    114,540x = 60,530,760,900
  5. Step 5: Solve for x
    x = 60,530,760,900/114,540
  6. Step 6: Final answer
    x = 528,468.32

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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.