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Finding the Third Proportional to 216,572.25 and 333,315.75

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Solution

The third proportional to 216,572.25 and 333,315.75 is: 512,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,572.25 : 333,315.75 = 333,315.75 : x
  2. Step 2: Convert to fraction form
    216,572.25/333,315.75 = 333,315.75/x
  3. Step 3: Cross multiply
    216,572.25x = 333,315.75 × 333,315.75
  4. Step 4: Simplify right side
    216,572.25x = 111,099,389,198.06
  5. Step 5: Solve for x
    x = 111,099,389,198.06/216,572.25
  6. Step 6: Final answer
    x = 512,989.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.