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Finding the Third Proportional to 241,205 and 509,167

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Solution

The third proportional to 241,205 and 509,167 is: 1,074,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,205 : 509,167 = 509,167 : x
  2. Step 2: Convert to fraction form
    241,205/509,167 = 509,167/x
  3. Step 3: Cross multiply
    241,205x = 509,167 × 509,167
  4. Step 4: Simplify right side
    241,205x = 259,251,033,889
  5. Step 5: Solve for x
    x = 259,251,033,889/241,205
  6. Step 6: Final answer
    x = 1,074,816.17

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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.