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Finding the Third Proportional to 83,150 and 183,800

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Solution

The third proportional to 83,150 and 183,800 is: 406,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,150 : 183,800 = 183,800 : x
  2. Step 2: Convert to fraction form
    83,150/183,800 = 183,800/x
  3. Step 3: Cross multiply
    83,150x = 183,800 × 183,800
  4. Step 4: Simplify right side
    83,150x = 33,782,440,000
  5. Step 5: Solve for x
    x = 33,782,440,000/83,150
  6. Step 6: Final answer
    x = 406,283.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.