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Finding the Third Proportional to 243,787.50 and 323,561.25

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Solution

The third proportional to 243,787.50 and 323,561.25 is: 429,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,787.50 : 323,561.25 = 323,561.25 : x
  2. Step 2: Convert to fraction form
    243,787.50/323,561.25 = 323,561.25/x
  3. Step 3: Cross multiply
    243,787.50x = 323,561.25 × 323,561.25
  4. Step 4: Simplify right side
    243,787.50x = 104,691,882,501.56
  5. Step 5: Solve for x
    x = 104,691,882,501.56/243,787.50
  6. Step 6: Final answer
    x = 429,439.09

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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.