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Finding the Third Proportional to 116,928 and 252,540

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Solution

The third proportional to 116,928 and 252,540 is: 545,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,928 : 252,540 = 252,540 : x
  2. Step 2: Convert to fraction form
    116,928/252,540 = 252,540/x
  3. Step 3: Cross multiply
    116,928x = 252,540 × 252,540
  4. Step 4: Simplify right side
    116,928x = 63,776,451,600
  5. Step 5: Solve for x
    x = 63,776,451,600/116,928
  6. Step 6: Final answer
    x = 545,433.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.