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Finding the Third Proportional to 241,203 and 509,163

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Solution

The third proportional to 241,203 and 509,163 is: 1,074,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,203 : 509,163 = 509,163 : x
  2. Step 2: Convert to fraction form
    241,203/509,163 = 509,163/x
  3. Step 3: Cross multiply
    241,203x = 509,163 × 509,163
  4. Step 4: Simplify right side
    241,203x = 259,246,960,569
  5. Step 5: Solve for x
    x = 259,246,960,569/241,203
  6. Step 6: Final answer
    x = 1,074,808.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.