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Finding the Third Proportional to 200,851 and 266,556

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Solution

The third proportional to 200,851 and 266,556 is: 353,755.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,851 : 266,556 = 266,556 : x
  2. Step 2: Convert to fraction form
    200,851/266,556 = 266,556/x
  3. Step 3: Cross multiply
    200,851x = 266,556 × 266,556
  4. Step 4: Simplify right side
    200,851x = 71,052,101,136
  5. Step 5: Solve for x
    x = 71,052,101,136/200,851
  6. Step 6: Final answer
    x = 353,755.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.