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Finding the Third Proportional to 228,260.25 and 356,208.75

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Solution

The third proportional to 228,260.25 and 356,208.75 is: 555,877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,260.25 : 356,208.75 = 356,208.75 : x
  2. Step 2: Convert to fraction form
    228,260.25/356,208.75 = 356,208.75/x
  3. Step 3: Cross multiply
    228,260.25x = 356,208.75 × 356,208.75
  4. Step 4: Simplify right side
    228,260.25x = 126,884,673,576.56
  5. Step 5: Solve for x
    x = 126,884,673,576.56/228,260.25
  6. Step 6: Final answer
    x = 555,877.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.