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Finding the Third Proportional to 216,658.25 and 483,106.13

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Solution

The third proportional to 216,658.25 and 483,106.13 is: 1,077,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,658.25 : 483,106.13 = 483,106.13 : x
  2. Step 2: Convert to fraction form
    216,658.25/483,106.13 = 483,106.13/x
  3. Step 3: Cross multiply
    216,658.25x = 483,106.13 × 483,106.13
  4. Step 4: Simplify right side
    216,658.25x = 233,391,528,012.52
  5. Step 5: Solve for x
    x = 233,391,528,012.52/216,658.25
  6. Step 6: Final answer
    x = 1,077,233.51

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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.