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Finding the Third Proportional to 229,203 and 541,939

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Solution

The third proportional to 229,203 and 541,939 is: 1,281,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,203 : 541,939 = 541,939 : x
  2. Step 2: Convert to fraction form
    229,203/541,939 = 541,939/x
  3. Step 3: Cross multiply
    229,203x = 541,939 × 541,939
  4. Step 4: Simplify right side
    229,203x = 293,697,879,721
  5. Step 5: Solve for x
    x = 293,697,879,721/229,203
  6. Step 6: Final answer
    x = 1,281,387.59

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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.