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Finding the Third Proportional to 234,082 and 306,055

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Solution

The third proportional to 234,082 and 306,055 is: 400,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,082 : 306,055 = 306,055 : x
  2. Step 2: Convert to fraction form
    234,082/306,055 = 306,055/x
  3. Step 3: Cross multiply
    234,082x = 306,055 × 306,055
  4. Step 4: Simplify right side
    234,082x = 93,669,663,025
  5. Step 5: Solve for x
    x = 93,669,663,025/234,082
  6. Step 6: Final answer
    x = 400,157.48

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.