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Finding the Third Proportional to 229,204.50 and 541,942.50

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Solution

The third proportional to 229,204.50 and 541,942.50 is: 1,281,395.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,204.50 : 541,942.50 = 541,942.50 : x
  2. Step 2: Convert to fraction form
    229,204.50/541,942.50 = 541,942.50/x
  3. Step 3: Cross multiply
    229,204.50x = 541,942.50 × 541,942.50
  4. Step 4: Simplify right side
    229,204.50x = 293,701,673,306.25
  5. Step 5: Solve for x
    x = 293,701,673,306.25/229,204.50
  6. Step 6: Final answer
    x = 1,281,395.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.