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Finding the Third Proportional to 83,828 and 180,724

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Solution

The third proportional to 83,828 and 180,724 is: 389,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,828 : 180,724 = 180,724 : x
  2. Step 2: Convert to fraction form
    83,828/180,724 = 180,724/x
  3. Step 3: Cross multiply
    83,828x = 180,724 × 180,724
  4. Step 4: Simplify right side
    83,828x = 32,661,164,176
  5. Step 5: Solve for x
    x = 32,661,164,176/83,828
  6. Step 6: Final answer
    x = 389,621.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.