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Finding the Third Proportional to 133,722.50 and 293,689

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Solution

The third proportional to 133,722.50 and 293,689 is: 645,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,722.50 : 293,689 = 293,689 : x
  2. Step 2: Convert to fraction form
    133,722.50/293,689 = 293,689/x
  3. Step 3: Cross multiply
    133,722.50x = 293,689 × 293,689
  4. Step 4: Simplify right side
    133,722.50x = 86,253,228,721
  5. Step 5: Solve for x
    x = 86,253,228,721/133,722.50
  6. Step 6: Final answer
    x = 645,016.57

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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.