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Finding the Third Proportional to 216,657.28 and 483,102.98

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Solution

The third proportional to 216,657.28 and 483,102.98 is: 1,077,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,657.28 : 483,102.98 = 483,102.98 : x
  2. Step 2: Convert to fraction form
    216,657.28/483,102.98 = 483,102.98/x
  3. Step 3: Cross multiply
    216,657.28x = 483,102.98 × 483,102.98
  4. Step 4: Simplify right side
    216,657.28x = 233,388,493,512.03
  5. Step 5: Solve for x
    x = 233,388,493,512.03/216,657.28
  6. Step 6: Final answer
    x = 1,077,224.32

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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.