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Finding the Third Proportional to 133,723.50 and 293,799

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Solution

The third proportional to 133,723.50 and 293,799 is: 645,495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,723.50 : 293,799 = 293,799 : x
  2. Step 2: Convert to fraction form
    133,723.50/293,799 = 293,799/x
  3. Step 3: Cross multiply
    133,723.50x = 293,799 × 293,799
  4. Step 4: Simplify right side
    133,723.50x = 86,317,852,401
  5. Step 5: Solve for x
    x = 86,317,852,401/133,723.50
  6. Step 6: Final answer
    x = 645,495.01

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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.