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Finding the Third Proportional to 216,661.50 and 483,112.50

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Solution

The third proportional to 216,661.50 and 483,112.50 is: 1,077,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,661.50 : 483,112.50 = 483,112.50 : x
  2. Step 2: Convert to fraction form
    216,661.50/483,112.50 = 483,112.50/x
  3. Step 3: Cross multiply
    216,661.50x = 483,112.50 × 483,112.50
  4. Step 4: Simplify right side
    216,661.50x = 233,397,687,656.25
  5. Step 5: Solve for x
    x = 233,397,687,656.25/216,661.50
  6. Step 6: Final answer
    x = 1,077,245.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.