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Finding the Third Proportional to 83,202 and 180,628

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Solution

The third proportional to 83,202 and 180,628 is: 392,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,202 : 180,628 = 180,628 : x
  2. Step 2: Convert to fraction form
    83,202/180,628 = 180,628/x
  3. Step 3: Cross multiply
    83,202x = 180,628 × 180,628
  4. Step 4: Simplify right side
    83,202x = 32,626,474,384
  5. Step 5: Solve for x
    x = 32,626,474,384/83,202
  6. Step 6: Final answer
    x = 392,135.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.