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Finding the Third Proportional to 133,636.50 and 269,460.75

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Solution

The third proportional to 133,636.50 and 269,460.75 is: 543,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,636.50 : 269,460.75 = 269,460.75 : x
  2. Step 2: Convert to fraction form
    133,636.50/269,460.75 = 269,460.75/x
  3. Step 3: Cross multiply
    133,636.50x = 269,460.75 × 269,460.75
  4. Step 4: Simplify right side
    133,636.50x = 72,609,095,790.56
  5. Step 5: Solve for x
    x = 72,609,095,790.56/133,636.50
  6. Step 6: Final answer
    x = 543,332.82

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.