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Finding the Third Proportional to 216,658.13 and 483,105.94

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Solution

The third proportional to 216,658.13 and 483,105.94 is: 1,077,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,658.13 : 483,105.94 = 483,105.94 : x
  2. Step 2: Convert to fraction form
    216,658.13/483,105.94 = 483,105.94/x
  3. Step 3: Cross multiply
    216,658.13x = 483,105.94 × 483,105.94
  4. Step 4: Simplify right side
    216,658.13x = 233,391,346,847.75
  5. Step 5: Solve for x
    x = 233,391,346,847.75/216,658.13
  6. Step 6: Final answer
    x = 1,077,233.30

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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.