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Finding the Third Proportional to 83,271 and 180,582

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Solution

The third proportional to 83,271 and 180,582 is: 391,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,271 : 180,582 = 180,582 : x
  2. Step 2: Convert to fraction form
    83,271/180,582 = 180,582/x
  3. Step 3: Cross multiply
    83,271x = 180,582 × 180,582
  4. Step 4: Simplify right side
    83,271x = 32,609,858,724
  5. Step 5: Solve for x
    x = 32,609,858,724/83,271
  6. Step 6: Final answer
    x = 391,611.23

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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.