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Finding the Third Proportional to 135,082 and 293,948

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Solution

The third proportional to 135,082 and 293,948 is: 639,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,082 : 293,948 = 293,948 : x
  2. Step 2: Convert to fraction form
    135,082/293,948 = 293,948/x
  3. Step 3: Cross multiply
    135,082x = 293,948 × 293,948
  4. Step 4: Simplify right side
    135,082x = 86,405,426,704
  5. Step 5: Solve for x
    x = 86,405,426,704/135,082
  6. Step 6: Final answer
    x = 639,651.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.