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Finding the Third Proportional to 133,711.88 and 293,667.94

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Solution

The third proportional to 133,711.88 and 293,667.94 is: 644,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,711.88 : 293,667.94 = 293,667.94 : x
  2. Step 2: Convert to fraction form
    133,711.88/293,667.94 = 293,667.94/x
  3. Step 3: Cross multiply
    133,711.88x = 293,667.94 × 293,667.94
  4. Step 4: Simplify right side
    133,711.88x = 86,240,857,515.50
  5. Step 5: Solve for x
    x = 86,240,857,515.50/133,711.88
  6. Step 6: Final answer
    x = 644,975.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.