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Finding the Third Proportional to 133,998.75 and 283,549.50

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Solution

The third proportional to 133,998.75 and 283,549.50 is: 600,007.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,998.75 : 283,549.50 = 283,549.50 : x
  2. Step 2: Convert to fraction form
    133,998.75/283,549.50 = 283,549.50/x
  3. Step 3: Cross multiply
    133,998.75x = 283,549.50 × 283,549.50
  4. Step 4: Simplify right side
    133,998.75x = 80,400,318,950.25
  5. Step 5: Solve for x
    x = 80,400,318,950.25/133,998.75
  6. Step 6: Final answer
    x = 600,007.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.