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Finding the Third Proportional to 201,830 and 274,222

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Solution

The third proportional to 201,830 and 274,222 is: 372,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,830 : 274,222 = 274,222 : x
  2. Step 2: Convert to fraction form
    201,830/274,222 = 274,222/x
  3. Step 3: Cross multiply
    201,830x = 274,222 × 274,222
  4. Step 4: Simplify right side
    201,830x = 75,197,705,284
  5. Step 5: Solve for x
    x = 75,197,705,284/201,830
  6. Step 6: Final answer
    x = 372,579.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.