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Finding the Third Proportional to 238,082 and 360,195

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Solution

The third proportional to 238,082 and 360,195 is: 544,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,082 : 360,195 = 360,195 : x
  2. Step 2: Convert to fraction form
    238,082/360,195 = 360,195/x
  3. Step 3: Cross multiply
    238,082x = 360,195 × 360,195
  4. Step 4: Simplify right side
    238,082x = 129,740,438,025
  5. Step 5: Solve for x
    x = 129,740,438,025/238,082
  6. Step 6: Final answer
    x = 544,940.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.