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Finding the Third Proportional to 247,299 and 335,908.50

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Solution

The third proportional to 247,299 and 335,908.50 is: 456,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,299 : 335,908.50 = 335,908.50 : x
  2. Step 2: Convert to fraction form
    247,299/335,908.50 = 335,908.50/x
  3. Step 3: Cross multiply
    247,299x = 335,908.50 × 335,908.50
  4. Step 4: Simplify right side
    247,299x = 112,834,520,372.25
  5. Step 5: Solve for x
    x = 112,834,520,372.25/247,299
  6. Step 6: Final answer
    x = 456,267.60

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.