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Finding the Third Proportional to 161,828 and 330,082

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Solution

The third proportional to 161,828 and 330,082 is: 673,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,828 : 330,082 = 330,082 : x
  2. Step 2: Convert to fraction form
    161,828/330,082 = 330,082/x
  3. Step 3: Cross multiply
    161,828x = 330,082 × 330,082
  4. Step 4: Simplify right side
    161,828x = 108,954,126,724
  5. Step 5: Solve for x
    x = 108,954,126,724/161,828
  6. Step 6: Final answer
    x = 673,271.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.