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Finding the Third Proportional to 86,924 and 209,333

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Solution

The third proportional to 86,924 and 209,333 is: 504,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,924 : 209,333 = 209,333 : x
  2. Step 2: Convert to fraction form
    86,924/209,333 = 209,333/x
  3. Step 3: Cross multiply
    86,924x = 209,333 × 209,333
  4. Step 4: Simplify right side
    86,924x = 43,820,304,889
  5. Step 5: Solve for x
    x = 43,820,304,889/86,924
  6. Step 6: Final answer
    x = 504,122.05

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.