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Finding the Third Proportional to 83,621 and 180,202

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Solution

The third proportional to 83,621 and 180,202 is: 388,332.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,621 : 180,202 = 180,202 : x
  2. Step 2: Convert to fraction form
    83,621/180,202 = 180,202/x
  3. Step 3: Cross multiply
    83,621x = 180,202 × 180,202
  4. Step 4: Simplify right side
    83,621x = 32,472,760,804
  5. Step 5: Solve for x
    x = 32,472,760,804/83,621
  6. Step 6: Final answer
    x = 388,332.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.