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Finding the Third Proportional to 110,706.75 and 229,292.25

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Solution

The third proportional to 110,706.75 and 229,292.25 is: 474,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,706.75 : 229,292.25 = 229,292.25 : x
  2. Step 2: Convert to fraction form
    110,706.75/229,292.25 = 229,292.25/x
  3. Step 3: Cross multiply
    110,706.75x = 229,292.25 × 229,292.25
  4. Step 4: Simplify right side
    110,706.75x = 52,574,935,910.06
  5. Step 5: Solve for x
    x = 52,574,935,910.06/110,706.75
  6. Step 6: Final answer
    x = 474,902.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.