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Finding the Third Proportional to 133,224.75 and 259,706.25

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Solution

The third proportional to 133,224.75 and 259,706.25 is: 506,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,224.75 : 259,706.25 = 259,706.25 : x
  2. Step 2: Convert to fraction form
    133,224.75/259,706.25 = 259,706.25/x
  3. Step 3: Cross multiply
    133,224.75x = 259,706.25 × 259,706.25
  4. Step 4: Simplify right side
    133,224.75x = 67,447,336,289.06
  5. Step 5: Solve for x
    x = 67,447,336,289.06/133,224.75
  6. Step 6: Final answer
    x = 506,267.31

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.