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Finding the Third Proportional to 133,438.50 and 293,121

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Solution

The third proportional to 133,438.50 and 293,121 is: 643,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,438.50 : 293,121 = 293,121 : x
  2. Step 2: Convert to fraction form
    133,438.50/293,121 = 293,121/x
  3. Step 3: Cross multiply
    133,438.50x = 293,121 × 293,121
  4. Step 4: Simplify right side
    133,438.50x = 85,919,920,641
  5. Step 5: Solve for x
    x = 85,919,920,641/133,438.50
  6. Step 6: Final answer
    x = 643,891.54

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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.