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Finding the Third Proportional to 209,662.50 and 279,333

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Solution

The third proportional to 209,662.50 and 279,333 is: 372,154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,662.50 : 279,333 = 279,333 : x
  2. Step 2: Convert to fraction form
    209,662.50/279,333 = 279,333/x
  3. Step 3: Cross multiply
    209,662.50x = 279,333 × 279,333
  4. Step 4: Simplify right side
    209,662.50x = 78,026,924,889
  5. Step 5: Solve for x
    x = 78,026,924,889/209,662.50
  6. Step 6: Final answer
    x = 372,154.89

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.