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Finding the Third Proportional to 201,888 and 274,299

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Solution

The third proportional to 201,888 and 274,299 is: 372,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,888 : 274,299 = 274,299 : x
  2. Step 2: Convert to fraction form
    201,888/274,299 = 274,299/x
  3. Step 3: Cross multiply
    201,888x = 274,299 × 274,299
  4. Step 4: Simplify right side
    201,888x = 75,239,941,401
  5. Step 5: Solve for x
    x = 75,239,941,401/201,888
  6. Step 6: Final answer
    x = 372,681.59

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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.