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Finding the Third Proportional to 221,776.50 and 339,316.50

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Solution

The third proportional to 221,776.50 and 339,316.50 is: 519,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,776.50 : 339,316.50 = 339,316.50 : x
  2. Step 2: Convert to fraction form
    221,776.50/339,316.50 = 339,316.50/x
  3. Step 3: Cross multiply
    221,776.50x = 339,316.50 × 339,316.50
  4. Step 4: Simplify right side
    221,776.50x = 115,135,687,172.25
  5. Step 5: Solve for x
    x = 115,135,687,172.25/221,776.50
  6. Step 6: Final answer
    x = 519,151.88

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.